105724788507 has 24 divisors (see below), whose sum is σ = 173116616400. Its totient is φ = 61637122368.

The previous prime is 105724788497. The next prime is 105724788563. The reversal of 105724788507 is 705887427501.

105724788507 is a `hidden beast` number, since 1 + 0 + 57 + 2 + 4 + 7 + 88 + 507 = 666.

It is not a de Polignac number, because 105724788507 - 2⁸ = 105724788251 is a prime.

It is a super-2 number, since 2×105724788507² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105724788907) 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, 23777532 + ... + 23781977.

It is an arithmetic number, because the mean of its divisors is an integer number (7213192350).

Almost surely, 2^105724788507 is an apocalyptic number.

105724788507 is a deficient number, since it is larger than the sum of its proper divisors (67391827893).

105724788507 is a wasteful number, since it uses less digits than its factorization.

105724788507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47559547 (or 47559544 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 105724788507 in words is "one hundred five billion, seven hundred twenty-four million, seven hundred eighty-eight thousand, five hundred seven".