100973950065 has 12 divisors (see below), whose sum is σ = 175021513524. Its totient is φ = 53852773344.

The previous prime is 100973950031. The next prime is 100973950073. The reversal of 100973950065 is 560059379001.

100973950065 is a `hidden beast` number, since 10 + 0 + 9 + 73 + 9 + 500 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53156069136 + 47817880929 = 230556^2 + 218673^2 .

It is not a de Polignac number, because 100973950065 - 2⁹ = 100973949553 is a prime.

It is a super-2 number, since 2×100973950065² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2243865557 = 100973950065 / (1 + 0 + 0 + 9 + 7 + 3 + 9 + 5 + 0 + 0 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 100973950065.

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, 1121932734 + ... + 1121932823.

It is an arithmetic number, because the mean of its divisors is an integer number (14585126127).

Almost surely, 2^100973950065 is an apocalyptic number.

100973950065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100973950065 is a deficient number, since it is larger than the sum of its proper divisors (74047563459).

100973950065 is a wasteful number, since it uses less digits than its factorization.

100973950065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243865568 (or 2243865565 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 100973950065 in words is "one hundred billion, nine hundred seventy-three million, nine hundred fifty thousand, sixty-five".