105312891904 has 44 divisors (see below), whose sum is σ = 229661412768. Its totient is φ = 47869491200.

The previous prime is 105312891889. The next prime is 105312891917. The reversal of 105312891904 is 409198213501.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×105312891904² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4663492 + ... + 4686019.

Almost surely, 2^105312891904 is an apocalyptic number.

It is an amenable number.

105312891904 is an abundant number, since it is smaller than the sum of its proper divisors (124348520864).

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

105312891904 is an equidigital number, since it uses as much as digits as its factorization.

105312891904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349542 (or 9349524 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 105312891904 in words is "one hundred five billion, three hundred twelve million, eight hundred ninety-one thousand, nine hundred four".