105724292774328 has 48 divisors (see below), whose sum is σ = 291030669329400. Its totient is φ = 34663702547520.

The previous prime is 105724292774239. The next prime is 105724292774341. The reversal of 105724292774328 is 823477292427501.

105724292774328 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 42 + 92 + 77 + 432 + 8 = 666.

It is a super-2 number, since 2×105724292774328² (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, 12036003438 + ... + 12036012221.

Almost surely, 2^{105724292774328} is an apocalyptic number.

105724292774328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105724292774328 is an abundant number, since it is smaller than the sum of its proper divisors (185306376555072).

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

105724292774328 is a wasteful number, since it uses less digits than its factorization.

105724292774328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24072015732 (or 24072015725 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 105724292774328 in words is "one hundred five trillion, seven hundred twenty-four billion, two hundred ninety-two million, seven hundred seventy-four thousand, three hundred twenty-eight".