100164933 has 24 divisors (see below), whose sum is σ = 160202016. Its totient is φ = 59796000.

The previous prime is 100164919. The next prime is 100164959. The reversal of 100164933 is 339461001.

100164933 is a `hidden beast` number, since 10 + 0 + 1 + 649 + 3 + 3 = 666.

It is not a de Polignac number, because 100164933 - 2⁴ = 100164917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100164897 and 100164906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100164913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918 + ... + 14183.

It is an arithmetic number, because the mean of its divisors is an integer number (6675084).

Almost surely, 2^100164933 is an apocalyptic number.

It is an amenable number.

100164933 is a deficient number, since it is larger than the sum of its proper divisors (60037083).

100164933 is a wasteful number, since it uses less digits than its factorization.

100164933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15185 (or 15182 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 100164933 is about 10008.2432524395. The cubic root of 100164933 is about 464.4139269193.

The spelling of 100164933 in words is "one hundred million, one hundred sixty-four thousand, nine hundred thirty-three".