104284800 has 384 divisors, whose sum is σ = 409795200. Its totient is φ = 25804800.

The previous prime is 104284781. The next prime is 104284813. The reversal of 104284800 is 8482401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×104284800² = 21750639022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468765 + ... + 1468835.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^104284800 is an apocalyptic number.

104284800 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 104284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

104284800 is an abundant number, since it is smaller than the sum of its proper divisors (305510400).

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

104284800 is a wasteful number, since it uses less digits than its factorization.

104284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

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

The square root of 104284800 is about 10211.9929494688. The cubic root of 104284800 is about 470.6958156005.

The spelling of 104284800 in words is "one hundred four million, two hundred eighty-four thousand, eight hundred".