102406164 has 48 divisors (see below), whose sum is σ = 289150848. Its totient is φ = 27537408.

The previous prime is 102406141. The next prime is 102406247. The reversal of 102406164 is 461604201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34429 + ... + 37284.

It is an arithmetic number, because the mean of its divisors is an integer number (6023976).

Almost surely, 2^102406164 is an apocalyptic number.

102406164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102406164 is an abundant number, since it is smaller than the sum of its proper divisors (186744684).

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

102406164 is a wasteful number, since it uses less digits than its factorization.

102406164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71744 (or 71742 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102406164 is about 10119.5930748227. The cubic root of 102406164 is about 467.8522252410.

The spelling of 102406164 in words is "one hundred two million, four hundred six thousand, one hundred sixty-four".