105724428705792 has 224 divisors, whose sum is σ = 337333721124960. Its totient is φ = 32530592563200.

The previous prime is 105724428705761. The next prime is 105724428705853. The reversal of 105724428705792 is 297507824427501.

105724428705792 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 4 + 428 + 70 + 57 + 92 = 666.

It is a super-2 number, since 2×105724428705792² (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 15 ways as a sum of consecutive naturals, for example, 15508959 + ... + 21259742.

It is an arithmetic number, because the mean of its divisors is an integer number (1505954112165).

Almost surely, 2^{105724428705792} is an apocalyptic number.

105724428705792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105724428705792 is an abundant number, since it is smaller than the sum of its proper divisors (231609292419168).

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

105724428705792 is an equidigital number, since it uses as much as digits as its factorization.

105724428705792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36768749 (or 36768719 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 105724428705792 in words is "one hundred five trillion, seven hundred twenty-four billion, four hundred twenty-eight million, seven hundred five thousand, seven hundred ninety-two".