105110556005800 has 48 divisors (see below), whose sum is σ = 244407032646300. Its totient is φ = 42039923059200.

The previous prime is 105110556005773. The next prime is 105110556005843. The reversal of 105110556005800 is 8500655011501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 68247128037124 + 36863427968676 = 8261182^2 + 6071526^2 .

It is a super-2 number, since 2×105110556005800² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105110556005800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24909805 + ... + 28822204.

Almost surely, 2^{105110556005800} is an apocalyptic number.

105110556005800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105110556005800 is an abundant number, since it is smaller than the sum of its proper divisors (139296476640500).

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

105110556005800 is a wasteful number, since it uses less digits than its factorization.

105110556005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53741806 (or 53741797 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 37.

The spelling of 105110556005800 in words is "one hundred five trillion, one hundred ten billion, five hundred fifty-six million, five thousand, eight hundred".