105713362976 has 48 divisors (see below), whose sum is σ = 225294139224. Its totient is φ = 48537944064.

The previous prime is 105713362939. The next prime is 105713363017. The reversal of 105713362976 is 679263317501.

It can be written as a sum of positive squares in 4 ways, for example, as 76465522576 + 29247840400 = 276524^2 + 171020^2 .

It is a super-2 number, since 2×105713362976² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578051 + ... + 738626.

Almost surely, 2^105713362976 is an apocalyptic number.

105713362976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105713362976 is an abundant number, since it is smaller than the sum of its proper divisors (119580776248).

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

105713362976 is a wasteful number, since it uses less digits than its factorization.

105713362976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316893 (or 1316885 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 50.

The spelling of 105713362976 in words is "one hundred five billion, seven hundred thirteen million, three hundred sixty-two thousand, nine hundred seventy-six".