105556432113 has 48 divisors (see below), whose sum is σ = 176425584192. Its totient is φ = 60104448000.

The previous prime is 105556432073. The next prime is 105556432153. The reversal of 105556432113 is 311234655501.

105556432113 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 5 + 643 + 2 + 1 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (105556432073) and next prime (105556432153).

It is not a de Polignac number, because 105556432113 - 2⁶ = 105556432049 is a prime.

It is a super-2 number, since 2×105556432113² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105556432153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906073 + ... + 1015913.

It is an arithmetic number, because the mean of its divisors is an integer number (3675533004).

Almost surely, 2^105556432113 is an apocalyptic number.

It is an amenable number.

105556432113 is a deficient number, since it is larger than the sum of its proper divisors (70869152079).

105556432113 is a wasteful number, since it uses less digits than its factorization.

105556432113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110446 (or 110443 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105556432113 in words is "one hundred five billion, five hundred fifty-six million, four hundred thirty-two thousand, one hundred thirteen".