105609111158556 has 24 divisors (see below), whose sum is σ = 273801399300240. Its totient is φ = 35203037052816.

The previous prime is 105609111158549. The next prime is 105609111158659. The reversal of 105609111158556 is 655851111906501.

105609111158556 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 9 + 1 + 1 + 1 + 1 + 585 + 56 = 666.

It is a super-2 number, since 2×105609111158556² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488931070071 + ... + 488931070286.

It is an arithmetic number, because the mean of its divisors is an integer number (11408391637510).

Almost surely, 2^{105609111158556} is an apocalyptic number.

It is an amenable number.

105609111158556 is an abundant number, since it is smaller than the sum of its proper divisors (168192288141684).

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

105609111158556 is a wasteful number, since it uses less digits than its factorization.

105609111158556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977862140370 (or 977862140362 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 54.

The spelling of 105609111158556 in words is "one hundred five trillion, six hundred nine billion, one hundred eleven million, one hundred fifty-eight thousand, five hundred fifty-six".