105239934864 has 60 divisors (see below), whose sum is σ = 294560780956. Its totient is φ = 35075794176.

The previous prime is 105239934829. The next prime is 105239934887. The reversal of 105239934864 is 468439932501.

105239934864 is a `hidden beast` number, since 1 + 0 + 5 + 239 + 9 + 348 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4238010000 + 101001924864 = 65100^2 + 317808^2 .

It is a super-2 number, since 2×105239934864² (a number of 23 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 105239934864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1314282 + ... + 1392054.

Almost surely, 2^105239934864 is an apocalyptic number.

It is an amenable number.

105239934864 is an abundant number, since it is smaller than the sum of its proper divisors (189320846092).

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

105239934864 is a wasteful number, since it uses less digits than its factorization.

105239934864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87184 (or 87175 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 105239934864 in words is "one hundred five billion, two hundred thirty-nine million, nine hundred thirty-four thousand, eight hundred sixty-four".