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105715720206 = 232191889163637
BaseRepresentation
bin110001001110100100…
…1011110000000001110
3101002212111210000100200
41202131021132000032
53213001211021311
6120322022434330
710431506536545
oct1423511360016
9332774700320
10105715720206
114091984a308
12185a3b929a6
139c79a22ac5
14518c1cd15c
152b3ae1b556
hex189d25e00e

105715720206 has 48 divisors (see below), whose sum is σ = 241235139600. Its totient is φ = 33366034944.

The previous prime is 105715720193. The next prime is 105715720247. The reversal of 105715720206 is 602027517501.

105715720206 is a `hidden beast` number, since 10 + 5 + 71 + 572 + 0 + 2 + 0 + 6 = 666.

It is a super-2 number, since 2×1057157202062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564220 + ... + 727856.

It is an arithmetic number, because the mean of its divisors is an integer number (5025732075).

Almost surely, 2105715720206 is an apocalyptic number.

105715720206 is an abundant number, since it is smaller than the sum of its proper divisors (135519419394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105715720206 is a wasteful number, since it uses less digits than its factorization.

105715720206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165553 (or 165550 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 105715720206 in words is "one hundred five billion, seven hundred fifteen million, seven hundred twenty thousand, two hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1889 3778 5667 11334 17001 34002 35891 71782 107673 163637 215346 323019 327274 490911 646038 981822 1472733 2945466 3109103 6218206 9327309 18654618 27981927 55963854 309110293 618220586 927330879 1854661758 2781992637 5563985274 5873095567 11746191134 17619286701 35238573402 52857860103 105715720206