105724788506 has 16 divisors (see below), whose sum is σ = 160966387680. Its totient is φ = 52069446000.

The previous prime is 105724788497. The next prime is 105724788563. The reversal of 105724788506 is 605887427501.

105724788506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105724788506² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2592905 + ... + 2633363.

It is an arithmetic number, because the mean of its divisors is an integer number (10060399230).

Almost surely, 2^105724788506 is an apocalyptic number.

105724788506 is a deficient number, since it is larger than the sum of its proper divisors (55241599174).

105724788506 is a wasteful number, since it uses less digits than its factorization.

105724788506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60029.

The product of its (nonzero) digits is 3763200, while the sum is 53.

The spelling of 105724788506 in words is "one hundred five billion, seven hundred twenty-four million, seven hundred eighty-eight thousand, five hundred six".