102971904 has 160 divisors (see below), whose sum is σ = 320681856. Its totient is φ = 28753920.

The previous prime is 102971893. The next prime is 102971923. The reversal of 102971904 is 409179201.

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, 655794 + ... + 655950.

Almost surely, 2^102971904 is an apocalyptic number.

102971904 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 102971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160340928).

102971904 is an abundant number, since it is smaller than the sum of its proper divisors (217709952).

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

102971904 is an equidigital number, since it uses as much as digits as its factorization.

102971904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 102971904 is about 10147.5072801156. The cubic root of 102971904 is about 468.7121890924.

The spelling of 102971904 in words is "one hundred two million, nine hundred seventy-one thousand, nine hundred four".