105339875904 has 84 divisors (see below), whose sum is σ = 306190497600. Its totient is φ = 34618725120.

The previous prime is 105339875897. The next prime is 105339875939. The reversal of 105339875904 is 409578933501.

105339875904 is a `hidden beast` number, since 10 + 5 + 3 + 39 + 8 + 7 + 590 + 4 = 666.

It is a super-2 number, since 2×105339875904² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1247004 + ... + 1328795.

Almost surely, 2^105339875904 is an apocalyptic number.

It is an amenable number.

105339875904 is an abundant number, since it is smaller than the sum of its proper divisors (200850621696).

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

105339875904 is a wasteful number, since it uses less digits than its factorization.

105339875904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575888 (or 2575875 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 105339875904 in words is "one hundred five billion, three hundred thirty-nine million, eight hundred seventy-five thousand, nine hundred four".