105600056004 has 36 divisors (see below), whose sum is σ = 268476458796. Its totient is φ = 34996548288.

The previous prime is 105600055903. The next prime is 105600056057. The reversal of 105600056004 is 400650006501.

It is a happy number.

105600056004 is a `hidden beast` number, since 1 + 0 + 5 + 600 + 0 + 56 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40865431104 + 64734624900 = 202152^2 + 254430^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105600056004² (a number of 23 digits) contains 22 as substring.

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, 8471619 + ... + 8484074.

It is an arithmetic number, because the mean of its divisors is an integer number (7457679411).

Almost surely, 2^105600056004 is an apocalyptic number.

It is an amenable number.

105600056004 is an abundant number, since it is smaller than the sum of its proper divisors (162876402792).

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

105600056004 is a wasteful number, since it uses less digits than its factorization.

105600056004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16955876 (or 16955871 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 105600056004 in words is "one hundred five billion, six hundred million, fifty-six thousand, four".