105724360382688 has 72 divisors (see below), whose sum is σ = 300695142410208. Its totient is φ = 35236589862912.

The previous prime is 105724360382617. The next prime is 105724360382731. The reversal of 105724360382688 is 886283063427501.

105724360382688 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 4 + 360 + 3 + 8 + 268 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105724360382688² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23240481 + ... + 27414752.

It is an arithmetic number, because the mean of its divisors is an integer number (4176321422364).

Almost surely, 2^{105724360382688} is an apocalyptic number.

105724360382688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105724360382688 is an abundant number, since it is smaller than the sum of its proper divisors (194970782027520).

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

105724360382688 is a wasteful number, since it uses less digits than its factorization.

105724360382688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50662496 (or 50662485 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 105724360382688 in words is "one hundred five trillion, seven hundred twenty-four billion, three hundred sixty million, three hundred eighty-two thousand, six hundred eighty-eight".