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{{Redirect|Hundred|other uses|100 (disambiguation)|and|Hundred (disambiguation)}} {{Infobox number | number = 100 | cardinal = one [[Wiktionary:hundred|hundred]] | divisor = 1, 2, 4, 5, 10, 20, 25, 50, 100 | roman = C, c |roman unicode=Ⅽ, ⅽ|unicode=С, с, C, c, ⒞, Ⓒ, ⓒ| lang1 = [[Greek numerals|Greek numeral]] | lang1 symbol = ρ | lang2 = [[Hindu–Arabic numeral system|Arabic]] | lang2 symbol = <span style="font-size:150%;">١٠٠</span> | lang3 = [[Bengali language|Bengali]] | lang3 symbol = <span style="font-size:150%;">১০০</span> | lang4 = [[Chinese numerals|Chinese numeral]] | lang4 symbol = 佰,百 | lang5 = [[Devanagari]] | lang5 symbol = <span style="font-size:150%;">१००</span> | lang6 = [[Hebrew numerals|Hebrew]] | lang6 symbol = <span style="font-size:150%;">ק</span> | lang7 = [[Khmer numerals|Khmer]] | lang7 symbol = ១០០ |lang8=[[Armenian numerals|Armenian]]|lang8 symbol=Ճ| lang9 = [[Tamil numerals|Tamil]] | lang9 symbol = ௱, க௦௦ | lang10 = [[Thai numerals|Thai]] | lang10 symbol = ๑๐๐ |lang11=[[Egyptian numerals|Egyptian hieroglyph]]|lang11 symbol=<span style="font-size:300%;">𓍢</span>|lang12=[[Babylonian cuneiform numerals|Babylonian cuneiform]]|lang12 symbol=𒐕𒐏|lang13=[[Japanese numerals|Japanese]]|lang13 symbol=ひゃく}} '''100''' or '''one hundred''' ([[Roman numerals|Roman numeral]]: '''C'''){{refn|Reinforced by but not originally derived from [[Latin]] {{lang|la|centum}}.}} is the [[natural number]] following [[99 (number)|99]] and preceding [[101 (number)|101]]. ==In mathematics== [[File:cube-sum-100.png|thumb|100 as the sum of the first positive cubes]] 100 is the square of [[10 (number)|10]] (in [[scientific notation]] it is written as 10<sup>2</sup>). The standard [[SI prefix]] for a hundred is "[[Hecto-|hecto]]-". 100 is the basis of [[percentage]]s ({{Lang|la|per centum}} meaning "by the hundred" in Latin), with 100% being a full amount. 100 is a [[Harshad number]] in [[decimal]], and also in base-four, a base in-which it is also a [[self-descriptive number]].<ref>{{Cite web|url=https://oeis.org/A005349|title=Sloane's A005349 : Niven (or Harshad) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref><ref>{{Cite OEIS |A108551 |Self-descriptive numbers in various bases represented in base 10 |access-date=2022-12-08 }}</ref> 100 is the sum of the first nine [[prime number]]s, from [[2]] through [[23 (number)|23]].<ref>{{cite OEIS|A007504|Sum of the first n primes.}}</ref> It is also divisible by the number of primes below it, [[25 (number)|25]].<ref>{{cite OEIS|A057809|Numbers n such that pi(n) divides n.}}</ref> 100 cannot be expressed as the difference between any integer and the total of [[coprime]]s below it, making it a [[noncototient]].<ref>{{Cite OEIS |A005278 |Noncototients |access-date=2022-12-08 }}</ref> 100 has a [[Carmichael function|reduced totient]] of 20, and an [[Euler totient]] of 40.<ref>{{Cite OEIS |A002322 |Reduced totient function |access-date=2022-12-08 }}</ref><ref>{{Cite OEIS |A000010 |Euler totient function }}</ref> A totient value of 100 is obtained from four numbers: [[101 (number)|101]], [[125 (number)|125]], [[202 (number)|202]], and [[250 (number)|250]]. 100 can be expressed as a sum of some of its divisors, making it a [[semiperfect number]].<ref>{{Cite OEIS |A005835 |Pseudoperfect (or semiperfect) numbers n |access-date=2022-12-08 }}</ref> The [[geometric mean]] of its nine divisors is [[10 (number)|10]]. 100 is the sum of the [[Cube (algebra)|cubes]] of the first four positive [[integers]] (100 = 1<sup>3</sup> + 2<sup>3</sup> + 3<sup>3</sup> + 4<sup>3</sup>).<ref>{{Cite OEIS |A025403 |Numbers that are the sum of 4 positive cubes in exactly 1 way. |access-date=2022-12-08 }}</ref> This is related by [[Nicomachus's theorem]] to the fact that 100 also equals the square of the sum of the first four positive integers: {{nowrap|1=100 = 10<sup>2</sup> = (1 + 2 + 3 + 4)<sup>2</sup>}}.<ref>{{Cite OEIS|A000537|name=Sum of first n cubes; or n-th triangular number squared}}</ref> 100 = 2<sup>6</sup> + 6<sup>2</sup>, thus 100 is the seventh [[Leyland number]].<ref>{{Cite web|url=https://oeis.org/A076980|title=Sloane's A076980 : Leyland numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref> 100 is also the seventeenth [[Erdős–Woods number]], and the fourth 18-[[Polygonal number|gonal number]].<ref>{{Cite OEIS |A059756 |Erdős-Woods numbers: the length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints |access-date=2022-11-30 }}</ref><ref>{{Cite web|url=https://oeis.org/A051870|title=Sloane's A051870 : 18-gonal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref> It is the 10th [[star number]]<ref>{{Cite OEIS |A003154 |access-date=2023-09-02 }}</ref> (whose [[digit sum]] also adds to 10 in [[Base ten|decimal]]). ==In history== *In medieval contexts, it may be described as the '''short hundred''' or five [[20 (number)|score]] in order to differentiate the [[English language|English]] and [[Germanic languages|Germanic]] use of "hundred" to describe the [[long hundred]]{{refn|see {{crossreference|{{sectionlink|Duodecimal|Origin}}}}}} of six [[20 (number)|score]] or [[120 (number)|120]]. ==In money== [[File:Hundred rupee note India.jpg|thumb | Hundred rupee note India]] Most of the world's [[currency|currencies]] are divided into 100 subunits. For example, one [[euro]] is one hundred cents and one [[pound sterling]] is one hundred pence. By specification, [[100 euro note]]s feature a picture of a Rococo gateway on the obverse and a Baroque bridge on the reverse. [[File:New100front.jpg|thumb|right|250px|The [[United States one-hundred-dollar bill|U.S. hundred-dollar bill]], Series 2009]] The [[United States one-hundred-dollar bill]] has [[Benjamin Franklin]]'s portrait; this "Benjamin" is the largest American [[banknote]] in circulation. ==In other fields== === Computers & Software === * The [[List of HTTP status codes|HTTP status code]] indicating that the client should continue with its request. * 100 Mbps Ethernet: [[Fast Ethernet]] standard. === Science & Measurement === * 100°C: The [[Boiling point|boiling point of water]] under standard atmospheric pressure. * 100 centimetres '''=''' 1 meter: Used in [[Metric system|metric]] measurements. * 100 is the [[atomic number]] of [[Fermium |Fermium (Fm)]]: A synthetic chemical element in the periodic table. === Sports === * [[100 metres|100-meter sprint]]: One of the most prestigious Olympic events. === Culture === * 100 emoji 💯: Is commonly used to represent something excellent or perfect. ==See also== {{Portal|Mathematics}} * ''[[1 vs. 100]]'' * [[AFI's 100 Years...]] * [[Hundred (county division)]] * [[Hundred (word)]] * [[Hundred Days (disambiguation)|Hundred Days]] * [[Hundred Years' War]] * [[List of highways numbered 100]] * [[Top 100 (disambiguation)|Top 100]] * [[100 greatest (disambiguation)|Greatest 100]] == References == <!--- See [[Wikipedia:Footnotes]] on how to create references using <ref></ref> tags which will then appear here automatically --> {{Reflist}} * Wells, D. ''[[The Penguin Dictionary of Curious and Interesting Numbers]]'' London: Penguin Group. (1987): 133 ==External links== {{Wiktionary|hundred}} {{Commons category}} *{{cite EB1911|wstitle=Hundred}} *{{cite web |title=On the Number 100 |url=https://www.wisdomportal.com/Numbers/100.html |website=WisdomPortal.com}} {{Integers|1}} {{Authority control}} {{DEFAULTSORT:100 (Number)}} [[Category:Integers]] [[Category:100 (number)| ]]
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