105295013568 has 84 divisors (see below), whose sum is σ = 302983925400. Its totient is φ = 34961719296.

The previous prime is 105295013563. The next prime is 105295013617. The reversal of 105295013568 is 865310592501.

105295013568 is a `hidden beast` number, since 1 + 0 + 5 + 29 + 50 + 13 + 568 = 666.

It is a super-2 number, since 2×105295013568² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105295013563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207618 + ... + 503681.

Almost surely, 2^105295013568 is an apocalyptic number.

105295013568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105295013568 is an abundant number, since it is smaller than the sum of its proper divisors (197688911832).

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

105295013568 is a wasteful number, since it uses less digits than its factorization.

105295013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711574 (or 711561 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 105295013568 in words is "one hundred five billion, two hundred ninety-five million, thirteen thousand, five hundred sixty-eight".