104556800 has 162 divisors, whose sum is σ = 283142034. Its totient is φ = 38092800.

The previous prime is 104556797. The next prime is 104556877. The reversal of 104556800 is 8655401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15745024 + 88811776 = 3968^2 + 9424^2 .

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 17 ways as a sum of consecutive naturals, for example, 3372785 + ... + 3372815.

Almost surely, 2^104556800 is an apocalyptic number.

104556800 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 104556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141571017).

104556800 is an abundant number, since it is smaller than the sum of its proper divisors (178585234).

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

104556800 is an equidigital number, since it uses as much as digits as its factorization.

104556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 104556800 is about 10225.3019515318. The cubic root of 104556800 is about 471.1046898641.

The spelling of 104556800 in words is "one hundred four million, five hundred fifty-six thousand, eight hundred".