104218800 has 240 divisors, whose sum is σ = 402236160. Its totient is φ = 22533120.

The previous prime is 104218783. The next prime is 104218831. The reversal of 104218800 is 8812401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 159274 + ... + 159926.

It is an arithmetic number, because the mean of its divisors is an integer number (1675984).

Almost surely, 2^104218800 is an apocalyptic number.

104218800 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 104218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201118080).

104218800 is an abundant number, since it is smaller than the sum of its proper divisors (298017360).

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

104218800 is a wasteful number, since it uses less digits than its factorization.

104218800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 104218800 is about 10208.7609434250. The cubic root of 104218800 is about 470.5964963011.

The spelling of 104218800 in words is "one hundred four million, two hundred eighteen thousand, eight hundred".