104878800 has 360 divisors, whose sum is σ = 411369504. Its totient is φ = 25505280.

The previous prime is 104878799. The next prime is 104878811. The reversal of 104878800 is 8878401.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263559 + ... + 1263641.

Almost surely, 2^104878800 is an apocalyptic number.

104878800 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 104878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205684752).

104878800 is an abundant number, since it is smaller than the sum of its proper divisors (306490704).

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

104878800 is a wasteful number, since it uses less digits than its factorization.

104878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 104878800 is about 10241.0351039336. The cubic root of 104878800 is about 471.5878092531.

The spelling of 104878800 in words is "one hundred four million, eight hundred seventy-eight thousand, eight hundred".