105624105124660 has 72 divisors (see below), whose sum is σ = 232958547110016. Its totient is φ = 40218211501440.

The previous prime is 105624105124607. The next prime is 105624105124661. The reversal of 105624105124660 is 66421501426501.

It is a super-2 number, since 2×105624105124660² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105624105124661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43028832 + ... + 45417271.

It is an arithmetic number, because the mean of its divisors is an integer number (3235535376528).

Almost surely, 2^{105624105124660} is an apocalyptic number.

105624105124660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105624105124660 is an abundant number, since it is smaller than the sum of its proper divisors (127334441985356).

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

105624105124660 is a wasteful number, since it uses less digits than its factorization.

105624105124660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88446241 (or 88446210 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 105624105124660 in words is "one hundred five trillion, six hundred twenty-four billion, one hundred five million, one hundred twenty-four thousand, six hundred sixty".