105566105157160 has 64 divisors (see below), whose sum is σ = 238827926623680. Its totient is φ = 41994720768000.

The previous prime is 105566105157131. The next prime is 105566105157179. The reversal of 105566105157160 is 61751501665501.

It is a super-2 number, since 2×105566105157160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22994619 + ... + 27200821.

It is an arithmetic number, because the mean of its divisors is an integer number (3731686353495).

Almost surely, 2^{105566105157160} is an apocalyptic number.

105566105157160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105566105157160 is an abundant number, since it is smaller than the sum of its proper divisors (133261821466520).

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

105566105157160 is a wasteful number, since it uses less digits than its factorization.

105566105157160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209658 (or 4209654 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 49.

The spelling of 105566105157160 in words is "one hundred five trillion, five hundred sixty-six billion, one hundred five million, one hundred fifty-seven thousand, one hundred sixty".