165102564 has 48 divisors (see below), whose sum is σ = 423775296. Its totient is φ = 50026240.

The previous prime is 165102563. The next prime is 165102583. The reversal of 165102564 is 465201561.

It is not an unprimeable number, because it can be changed into a prime (165102563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10804 + ... + 21140.

It is an arithmetic number, because the mean of its divisors is an integer number (8828652).

Almost surely, 2^165102564 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 165102564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211887648).

165102564 is an abundant number, since it is smaller than the sum of its proper divisors (258672732).

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

165102564 is a wasteful number, since it uses less digits than its factorization.

165102564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10353 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 165102564 is about 12849.2242567402. The cubic root of 165102564 is about 548.5942768959.

The spelling of 165102564 in words is "one hundred sixty-five million, one hundred two thousand, five hundred sixty-four".