105053715065979 has 20 divisors (see below), whose sum is σ = 156980070066160. Its totient is φ = 70014398736240.

The previous prime is 105053715065977. The next prime is 105053715066037. The reversal of 105053715065979 is 979560517350501.

105053715065979 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 3 + 7 + 1 + 506 + 59 + 79 = 666.

It is not a de Polignac number, because 105053715065979 - 2¹ = 105053715065977 is a prime.

It is a super-2 number, since 2×105053715065979² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105053715065977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 197986264 + ... + 198516165.

It is an arithmetic number, because the mean of its divisors is an integer number (7849003503308).

Almost surely, 2^{105053715065979} is an apocalyptic number.

105053715065979 is a deficient number, since it is larger than the sum of its proper divisors (51926355000181).

105053715065979 is an equidigital number, since it uses as much as digits as its factorization.

105053715065979 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396505712 (or 396505703 counting only the distinct ones).

The product of its (nonzero) digits is 44651250, while the sum is 63.

The spelling of 105053715065979 in words is "one hundred five trillion, fifty-three billion, seven hundred fifteen million, sixty-five thousand, nine hundred seventy-nine".