390165100 has 72 divisors (see below), whose sum is σ = 951501600. Its totient is φ = 137786880.

The previous prime is 390165091. The next prime is 390165107. The reversal of 390165100 is 1561093.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (390165107) 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, 23376 + ... + 36424.

It is an arithmetic number, because the mean of its divisors is an integer number (13215300).

Almost surely, 2^390165100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390165100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475750800).

390165100 is an abundant number, since it is smaller than the sum of its proper divisors (561336500).

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

390165100 is a wasteful number, since it uses less digits than its factorization.

390165100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13099 (or 13092 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 390165100 is about 19752.5972975708. The cubic root of 390165100 is about 730.7174406652.

The spelling of 390165100 in words is "three hundred ninety million, one hundred sixty-five thousand, one hundred".