103959864 has 96 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 32788800.

The previous prime is 103959859. The next prime is 103959893. The reversal of 103959864 is 468959301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104409 + ... + 105399.

It is an arithmetic number, because the mean of its divisors is an integer number (3095040).

Almost surely, 2^103959864 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 103959864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

103959864 is an abundant number, since it is smaller than the sum of its proper divisors (193163976).

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

103959864 is a wasteful number, since it uses less digits than its factorization.

103959864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 103959864 is about 10196.0710079913. The cubic root of 103959864 is about 470.2064341391.

The spelling of 103959864 in words is "one hundred three million, nine hundred fifty-nine thousand, eight hundred sixty-four".