104428800 has 486 divisors, whose sum is σ = 446050878. Its totient is φ = 23224320.

The previous prime is 104428799. The next prime is 104428817. The reversal of 104428800 is 8824401.

It can be written as a sum of positive squares in 3 ways, for example, as 22127616 + 82301184 = 4704^2 + 9072^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822382 + ... + 2822418.

Almost surely, 2^104428800 is an apocalyptic number.

104428800 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 104428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223025439).

104428800 is an abundant number, since it is smaller than the sum of its proper divisors (341622078).

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

104428800 is a wasteful number, since it uses less digits than its factorization.

104428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 104428800 is about 10219.0410509010. The cubic root of 104428800 is about 470.9123668896.

The spelling of 104428800 in words is "one hundred four million, four hundred twenty-eight thousand, eight hundred".