105624105125056 has 168 divisors, whose sum is σ = 250228499863056. Its totient is φ = 44083521699840.

The previous prime is 105624105125047. The next prime is 105624105125069. The reversal of 105624105125056 is 650521501426501.

It is a super-2 number, since 2×105624105125056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 44281636 + ... + 46605916.

Almost surely, 2^{105624105125056} is an apocalyptic number.

105624105125056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105624105125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125114249931528).

105624105125056 is an abundant number, since it is smaller than the sum of its proper divisors (144604394738000).

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

105624105125056 is a wasteful number, since it uses less digits than its factorization.

105624105125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324687 (or 2324670 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 43.

The spelling of 105624105125056 in words is "one hundred five trillion, six hundred twenty-four billion, one hundred five million, one hundred twenty-five thousand, fifty-six".