105516115056 has 60 divisors (see below), whose sum is σ = 322143901560. Its totient is φ = 31974579840.

The previous prime is 105516115039. The next prime is 105516115087. The reversal of 105516115056 is 650511615501.

It is a happy number.

105516115056 is a `hidden beast` number, since 1 + 0 + 551 + 6 + 1 + 1 + 50 + 56 = 666.

It is a super-2 number, since 2×105516115056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105516115056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33305271 + ... + 33308438.

It is an arithmetic number, because the mean of its divisors is an integer number (5369065026).

Almost surely, 2^105516115056 is an apocalyptic number.

105516115056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105516115056 is an abundant number, since it is smaller than the sum of its proper divisors (216627786504).

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

105516115056 is a wasteful number, since it uses less digits than its factorization.

105516115056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66613734 (or 66613725 counting only the distinct ones).

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

The spelling of 105516115056 in words is "one hundred five billion, five hundred sixteen million, one hundred fifteen thousand, fifty-six".