164507900 has 36 divisors (see below), whose sum is σ = 358305192. Its totient is φ = 65559360.

The previous prime is 164507879. The next prime is 164507921. The reversal of 164507900 is 9705461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164507879) and next prime (164507921).

It is a congruent number.

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, 25394 + ... + 31206.

It is an arithmetic number, because the mean of its divisors is an integer number (9952922).

Almost surely, 2^164507900 is an apocalyptic number.

164507900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164507900 is an abundant number, since it is smaller than the sum of its proper divisors (193797292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164507900 is a wasteful number, since it uses less digits than its factorization.

164507900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 164507900 is about 12826.0633087475. The cubic root of 164507900 is about 547.9348449362.

The spelling of 164507900 in words is "one hundred sixty-four million, five hundred seven thousand, nine hundred".