105500556105165 has 128 divisors (see below), whose sum is σ = 202427846530560. Its totient is φ = 51824663654400.

The previous prime is 105500556105157. The next prime is 105500556105173. The reversal of 105500556105165 is 561501655005501.

105500556105165 is a `hidden beast` number, since 10 + 5 + 5 + 0 + 0 + 5 + 5 + 610 + 5 + 16 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (105500556105157) and next prime (105500556105173).

It is not a de Polignac number, because 105500556105165 - 2³ = 105500556105157 is a prime.

It is a super-2 number, since 2×105500556105165² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105500556105165.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2963231254 + ... + 2963266856.

It is an arithmetic number, because the mean of its divisors is an integer number (1581467551020).

Almost surely, 2^{105500556105165} is an apocalyptic number.

105500556105165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105500556105165 is a deficient number, since it is larger than the sum of its proper divisors (96927290425395).

105500556105165 is a wasteful number, since it uses less digits than its factorization.

105500556105165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39292 (or 39286 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 45.

The spelling of 105500556105165 in words is "one hundred five trillion, five hundred billion, five hundred fifty-six million, one hundred five thousand, one hundred sixty-five".