105160933692 has 72 divisors (see below), whose sum is σ = 291884641776. Its totient is φ = 32991660288.

The previous prime is 105160933651. The next prime is 105160933699. The reversal of 105160933692 is 296339061501.

105160933692 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 609 + 3 + 36 + 9 + 2 = 666.

It is a super-2 number, since 2×105160933692² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105160933699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3165543 + ... + 3198590.

It is an arithmetic number, because the mean of its divisors is an integer number (4053953358).

Almost surely, 2^105160933692 is an apocalyptic number.

105160933692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105160933692 is an abundant number, since it is smaller than the sum of its proper divisors (186723708084).

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

105160933692 is a wasteful number, since it uses less digits than its factorization.

105160933692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364169 (or 6364155 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 105160933692 in words is "one hundred five billion, one hundred sixty million, nine hundred thirty-three thousand, six hundred ninety-two".