104644800 has 378 divisors, whose sum is σ = 412109412. Its totient is φ = 25159680.

The previous prime is 104644781. The next prime is 104644849. The reversal of 104644800 is 8446401.

104644800 is a `hidden beast` number, since 10 + 4 + 644 + 8 + 0 + 0 = 666.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2433579 + ... + 2433621.

Almost surely, 2^104644800 is an apocalyptic number.

104644800 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 104644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206054706).

104644800 is an abundant number, since it is smaller than the sum of its proper divisors (307464612).

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

104644800 is a wasteful number, since it uses less digits than its factorization.

104644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104644800 is about 10229.6040979111. The cubic root of 104644800 is about 471.2368208760.

The spelling of 104644800 in words is "one hundred four million, six hundred forty-four thousand, eight hundred".