105079713921 has 192 divisors, whose sum is σ = 206369013760. Its totient is φ = 49968576000.

The previous prime is 105079713889. The next prime is 105079713929. The reversal of 105079713921 is 129317970501.

It is a happy number.

105079713921 is a `hidden beast` number, since 1 + 0 + 507 + 9 + 7 + 139 + 2 + 1 = 666.

It is not a de Polignac number, because 105079713921 - 2⁵ = 105079713889 is a prime.

It is a super-2 number, since 2×105079713921² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105079713929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29424066 + ... + 29427636.

Almost surely, 2^105079713921 is an apocalyptic number.

It is an amenable number.

105079713921 is a deficient number, since it is larger than the sum of its proper divisors (101289299839).

105079713921 is a wasteful number, since it uses less digits than its factorization.

105079713921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 105079713921 in words is "one hundred five billion, seventy-nine million, seven hundred thirteen thousand, nine hundred twenty-one".