104788800 has 252 divisors, whose sum is σ = 393070080. Its totient is φ = 26403840.

The previous prime is 104788787. The next prime is 104788811. The reversal of 104788800 is 8887401.

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 35 ways as a sum of consecutive naturals, for example, 273409 + ... + 273791.

Almost surely, 2^104788800 is an apocalyptic number.

104788800 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 104788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196535040).

104788800 is an abundant number, since it is smaller than the sum of its proper divisors (288281280).

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

104788800 is a wasteful number, since it uses less digits than its factorization.

104788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

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

The square root of 104788800 is about 10236.6400737742. The cubic root of 104788800 is about 471.4528755671.

The spelling of 104788800 in words is "one hundred four million, seven hundred eighty-eight thousand, eight hundred".