105561010100610 has 24 divisors (see below), whose sum is σ = 274458626261820. Its totient is φ = 28149602693472.

The previous prime is 105561010100597. The next prime is 105561010100687. The reversal of 105561010100610 is 16001010165501.

105561010100610 is a `hidden beast` number, since 1 + 0 + 556 + 1 + 0 + 1 + 0 + 100 + 6 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101861846431569 + 3699163669041 = 10092663^2 + 1923321^2 .

It is a super-2 number, since 2×105561010100610² (a number of 29 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, 586450056025 + ... + 586450056204.

Almost surely, 2^{105561010100610} is an apocalyptic number.

105561010100610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105561010100610 is an abundant number, since it is smaller than the sum of its proper divisors (168897616161210).

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

105561010100610 is a wasteful number, since it uses less digits than its factorization.

105561010100610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172900112242 (or 1172900112239 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105561010100610 in words is "one hundred five trillion, five hundred sixty-one billion, ten million, one hundred thousand, six hundred ten".