102574164 has 96 divisors (see below), whose sum is σ = 308109312. Its totient is φ = 25776000.

The previous prime is 102574151. The next prime is 102574177. The reversal of 102574164 is 461475201.

It is an interprime number because it is at equal distance from previous prime (102574151) and next prime (102574177).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26854 + ... + 30434.

It is an arithmetic number, because the mean of its divisors is an integer number (3209472).

Almost surely, 2^102574164 is an apocalyptic number.

102574164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102574164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154054656).

102574164 is an abundant number, since it is smaller than the sum of its proper divisors (205535148).

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

102574164 is a wasteful number, since it uses less digits than its factorization.

102574164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 102574164 is about 10127.8904022506. The cubic root of 102574164 is about 468.1079267488.

The spelling of 102574164 in words is "one hundred two million, five hundred seventy-four thousand, one hundred sixty-four".