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105107174701434 = 2325839287483413
BaseRepresentation
bin10111111001100000101011…
…110011111011100101111010
3111210011010222201112121001100
4113321200223303323211322
5102234033443210421214
61011313323001032230
731065512525631663
oct2771405363734572
9453133881477040
10105107174701434
113054377aa87154
12b956584185676
13468574428cab9
141bd530045036a
15c2412b053309
hex5f982bcfb97a

105107174701434 has 12 divisors (see below), whose sum is σ = 227732211853146. Its totient is φ = 35035724900472.

The previous prime is 105107174701337. The next prime is 105107174701481. The reversal of 105107174701434 is 434107471701501.

105107174701434 is a `hidden beast` number, since 1 + 0 + 5 + 10 + 71 + 74 + 70 + 1 + 434 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85482691119225 + 19624483582209 = 9245685^2 + 4429953^2 .

It is a super-2 number, since 2×1051071747014342 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105107174701434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2919643741689 + ... + 2919643741724.

Almost surely, 2105107174701434 is an apocalyptic number.

105107174701434 is an abundant number, since it is smaller than the sum of its proper divisors (122625037151712).

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

105107174701434 is a wasteful number, since it uses less digits than its factorization.

105107174701434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839287483421 (or 5839287483418 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 105107174701434 in words is "one hundred five trillion, one hundred seven billion, one hundred seventy-four million, seven hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 5839287483413 11678574966826 17517862450239 35035724900478 52553587350717 105107174701434