105550105610610 has 48 divisors (see below), whose sum is σ = 274431090488256. Its totient is φ = 28146611147424.

The previous prime is 105550105610561. The next prime is 105550105610687. The reversal of 105550105610610 is 16016501055501.

It is a happy number.

105550105610610 is a `hidden beast` number, since 10 + 5 + 5 + 5 + 0 + 10 + 5 + 6 + 10 + 610 = 666.

It is a super-2 number, since 2×105550105610610² (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 23 ways as a sum of consecutive naturals, for example, 32388427 + ... + 35498033.

It is an arithmetic number, because the mean of its divisors is an integer number (5717314385172).

Almost surely, 2^{105550105610610} is an apocalyptic number.

105550105610610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105550105610610 is an abundant number, since it is smaller than the sum of its proper divisors (168880984877646).

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

105550105610610 is a wasteful number, since it uses less digits than its factorization.

105550105610610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486767 (or 3486764 counting only the distinct ones).

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

The spelling of 105550105610610 in words is "one hundred five trillion, five hundred fifty billion, one hundred five million, six hundred ten thousand, six hundred ten".