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{{Numbers 100-199}}'''105''' is an integer equal to [[7]][[!!]].
#REDIRECT [[Unnamed numbers with unrelated facts]]
 
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Its prime factorization is 3 × 5 × 7.
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It is part of a Ruth–Aaron pair with 104<ref>OEIS, [https://oeis.org/A006145 Sequence A006145] (accessed 2021-02-09)</ref> using the formulation involving sums of prime factors.
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It is the first {{w|Zeisel number}}.
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The 105th {{w|cyclotomic polynomial}} is the first cyclotomic polynomial containing coefficients with absolute value larger than 1.
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It is the smallest odd number, for which the {{w|cototient}} is larger than the {{w|totient}}.
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==Sources==
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<references/>
 
[[Category:Numbers]]
 
[[Category:Numbers]]
[[Category:Binomial coefficients]]
 
 
[[Category:Class 1]]
 
[[Category:Class 1]]
[[Category:Composite numbers]]
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[[Category:Factorial numbers]]
[[Category:Deficient numbers]]
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[[Category:Non-powers]]
 
[[Category:Numbers with 3 digits]]
 
[[Category:Numbers with 3 digits]]
[[Category:Numbers with radical 105]]
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[[Category:Odd numbers]]
[[Category:Squarefree numbers]]
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[[Category:Unnamed numbers with googological uses]]
[[Category:Unnamed numbers]]
 

Latest revision as of 03:06, 10 February 2021

105 is an integer equal to 7!!.

Its prime factorization is 3 × 5 × 7.

It is part of a Ruth–Aaron pair with 104[1] using the formulation involving sums of prime factors.

It is the first Zeisel number.

The 105th cyclotomic polynomial is the first cyclotomic polynomial containing coefficients with absolute value larger than 1.

It is the smallest odd number, for which the cototient is larger than the totient.

Sources

  1. OEIS, Sequence A006145 (accessed 2021-02-09)