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105164045220402 = 23272888831341467
BaseRepresentation
bin10111111010010101101001…
…100011101111101000110010
3111210100120210010110021212200
4113322111221203233220302
5102241001431034023102
61011355410113404030
731102565035234200
oct2772255143575062
9453316703407780
10105164045220402
11305659039a6853
12b9655b5b69616
13468ac0856c25c
141bd7d77434070
15c25858b8751c
hex5fa5698efa32

105164045220402 has 72 divisors (see below), whose sum is σ = 265059497725776. Its totient is φ = 30046509615024.

The previous prime is 105164045220313. The next prime is 105164045220517. The reversal of 105164045220402 is 204022540461501.

105164045220402 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 640 + 4 + 5 + 2 + 2 + 0 + 4 + 0 + 2 = 666.

It is a super-2 number, since 2×1051640452204022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77724073 + ... + 79065539.

It is an arithmetic number, because the mean of its divisors is an integer number (3681381912858).

Almost surely, 2105164045220402 is an apocalyptic number.

105164045220402 is an abundant number, since it is smaller than the sum of its proper divisors (159895452505374).

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

105164045220402 is a wasteful number, since it uses less digits than its factorization.

105164045220402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430372 (or 1430362 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 105164045220402 its reverse (204022540461501), we get a palindrome (309186585681903).

The spelling of 105164045220402 in words is "one hundred five trillion, one hundred sixty-four billion, forty-five million, two hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 88883 177766 266649 533298 622181 799947 1244362 1341467 1599894 1866543 2682934 3733086 4024401 4355267 5599629 8048802 8710534 9390269 11199258 12073203 13065801 18780538 24146406 26131602 28170807 39197403 56341614 65731883 78394806 84512421 131463766 169024842 197195649 394391298 591586947 1183173894 119233611361 238467222722 357700834083 715401668166 834635279527 1073102502249 1669270559054 2146205004498 2503905838581 5007811677162 5842446956689 7511717515743 11684893913378 15023435031486 17527340870067 35054681740134 52582022610201 105164045220402