105500400564 has 48 divisors (see below), whose sum is σ = 267581216448. Its totient is φ = 32158276608.

The previous prime is 105500400557. The next prime is 105500400587. The reversal of 105500400564 is 465004005501.

It is a super-2 number, since 2×105500400564² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3143517 + ... + 3176900.

It is an arithmetic number, because the mean of its divisors is an integer number (5574608676).

Almost surely, 2^105500400564 is an apocalyptic number.

It is an amenable number.

105500400564 is an abundant number, since it is smaller than the sum of its proper divisors (162080815884).

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

105500400564 is a wasteful number, since it uses less digits than its factorization.

105500400564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320544 (or 6320542 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 105500400564 in words is "one hundred five billion, five hundred million, four hundred thousand, five hundred sixty-four".