103259904 has 144 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 29409280.

The previous prime is 103259881. The next prime is 103259917. The reversal of 103259904 is 409952301.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 143257 + ... + 143975.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 2^103259904 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 103259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

103259904 is an abundant number, since it is smaller than the sum of its proper divisors (214622976).

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

103259904 is a wasteful number, since it uses less digits than its factorization.

103259904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 103259904 is about 10161.6880487447. The cubic root of 103259904 is about 469.1487594932.

The spelling of 103259904 in words is "one hundred three million, two hundred fifty-nine thousand, nine hundred four".