104605600 has 72 divisors (see below), whose sum is σ = 278607168. Its totient is φ = 38035200.

The previous prime is 104605591. The next prime is 104605603. The reversal of 104605600 is 6506401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (104605603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2857 + ... + 14743.

It is an arithmetic number, because the mean of its divisors is an integer number (3869544).

Almost surely, 2^104605600 is an apocalyptic number.

104605600 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 104605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139303584).

104605600 is an abundant number, since it is smaller than the sum of its proper divisors (174001568).

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

104605600 is a wasteful number, since it uses less digits than its factorization.

104605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11918 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 104605600 is about 10227.6879107646. The cubic root of 104605600 is about 471.1779716691.

The spelling of 104605600 in words is "one hundred four million, six hundred five thousand, six hundred".