100065516165 has 24 divisors (see below), whose sum is σ = 173483987040. Its totient is φ = 53356862304.

The previous prime is 100065516139. The next prime is 100065516377. The reversal of 100065516165 is 561615560001.

It is not a de Polignac number, because 100065516165 - 2⁷ = 100065516037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22875 + ... + 447944.

It is an arithmetic number, because the mean of its divisors is an integer number (7228499460).

Almost surely, 2^100065516165 is an apocalyptic number.

100065516165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100065516165 is a deficient number, since it is larger than the sum of its proper divisors (73418470875).

100065516165 is a wasteful number, since it uses less digits than its factorization.

100065516165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475553 (or 475550 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 100065516165 in words is "one hundred billion, sixty-five million, five hundred sixteen thousand, one hundred sixty-five".