105610555010610 has 96 divisors (see below), whose sum is σ = 304958289156480. Its totient is φ = 25996444299072.

The previous prime is 105610555010591. The next prime is 105610555010647. The reversal of 105610555010610 is 16010555016501.

It is a happy number.

105610555010610 is a `hidden beast` number, since 10 + 5 + 6 + 10 + 5 + 5 + 5 + 0 + 10 + 610 = 666.

105610555010610 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105610555010610² (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 47 ways as a sum of consecutive naturals, for example, 1157203494 + ... + 1157294753.

It is an arithmetic number, because the mean of its divisors is an integer number (3176648845380).

Almost surely, 2^{105610555010610} is an apocalyptic number.

105610555010610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105610555010610 is an abundant number, since it is smaller than the sum of its proper divisors (199347734145870).

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

105610555010610 is a wasteful number, since it uses less digits than its factorization.

105610555010610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314498289 (or 2314498270 counting only the distinct ones).

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

The spelling of 105610555010610 in words is "one hundred five trillion, six hundred ten billion, five hundred fifty-five million, ten thousand, six hundred ten".