105561010055106 has 16 divisors (see below), whose sum is σ = 234580022344800. Its totient is φ = 35187003351684.

The previous prime is 105561010055093. The next prime is 105561010055107. The reversal of 105561010055106 is 601550010165501.

It is a happy number.

105561010055106 is a `hidden beast` number, since 10 + 5 + 5 + 610 + 10 + 0 + 5 + 5 + 10 + 6 = 666.

It is a super-2 number, since 2×105561010055106² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105561010055107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 977416759716 + ... + 977416759823.

It is an arithmetic number, because the mean of its divisors is an integer number (14661251396550).

Almost surely, 2^{105561010055106} is an apocalyptic number.

105561010055106 is an abundant number, since it is smaller than the sum of its proper divisors (129019012289694).

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

105561010055106 is a wasteful number, since it uses less digits than its factorization.

105561010055106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954833519550 (or 1954833519544 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 105561010055106 in words is "one hundred five trillion, five hundred sixty-one billion, ten million, fifty-five thousand, one hundred six".