104068800 has 420 divisors, whose sum is σ = 423022776. Its totient is φ = 24883200.

The previous prime is 104068799. The next prime is 104068807. The reversal of 104068800 is 8860401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104068807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425564 + ... + 1425636.

Almost surely, 2^104068800 is an apocalyptic number.

104068800 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 104068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211511388).

104068800 is an abundant number, since it is smaller than the sum of its proper divisors (318953976).

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

104068800 is a wasteful number, since it uses less digits than its factorization.

104068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104068800 is about 10201.4116670194. The cubic root of 104068800 is about 470.3706145742.

The spelling of 104068800 in words is "one hundred four million, sixty-eight thousand, eight hundred".