104208960 has 112 divisors (see below), whose sum is σ = 335621376. Its totient is φ = 27389952.

The previous prime is 104208959. The next prime is 104208989. The reversal of 104208960 is 69802401.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 69337 + ... + 70823.

Almost surely, 2^104208960 is an apocalyptic number.

104208960 is a gapful number since it is divisible by the number (10) 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 104208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167810688).

104208960 is an abundant number, since it is smaller than the sum of its proper divisors (231412416).

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

104208960 is a wasteful number, since it uses less digits than its factorization.

104208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 104208960 is about 10208.2789930526. The cubic root of 104208960 is about 470.5816851049.

The spelling of 104208960 in words is "one hundred four million, two hundred eight thousand, nine hundred sixty".