104385600 has 252 divisors, whose sum is σ = 405353520. Its totient is φ = 25267200.

The previous prime is 104385583. The next prime is 104385607. The reversal of 104385600 is 6583401.

104385600 is a `hidden beast` number, since 10 + 43 + 8 + 5 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (104385607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158071 + ... + 158729.

Almost surely, 2^104385600 is an apocalyptic number.

104385600 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 104385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202676760).

104385600 is an abundant number, since it is smaller than the sum of its proper divisors (300967920).

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

104385600 is a wasteful number, since it uses less digits than its factorization.

104385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104385600 is about 10216.9271309920. The cubic root of 104385600 is about 470.8474224167.

The spelling of 104385600 in words is "one hundred four million, three hundred eighty-five thousand, six hundred".