102685920 has 48 divisors (see below), whose sum is σ = 323462160. Its totient is φ = 27382784.

The previous prime is 102685909. The next prime is 102685927. The reversal of 102685920 is 29586201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102685927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106485 + ... + 107444.

It is an arithmetic number, because the mean of its divisors is an integer number (6738795).

Almost surely, 2^102685920 is an apocalyptic number.

102685920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102685920 is an abundant number, since it is smaller than the sum of its proper divisors (220776240).

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

102685920 is a wasteful number, since it uses less digits than its factorization.

102685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213947 (or 213939 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 102685920 is about 10133.4061400893. The cubic root of 102685920 is about 468.2778684444.

The spelling of 102685920 in words is "one hundred two million, six hundred eighty-five thousand, nine hundred twenty".