104809200 has 120 divisors (see below), whose sum is σ = 338395008. Its totient is φ = 27728640.

The previous prime is 104809181. The next prime is 104809207. The reversal of 104809200 is 2908401.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104809207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200139 + ... + 200661.

Almost surely, 2^104809200 is an apocalyptic number.

104809200 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 104809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169197504).

104809200 is an abundant number, since it is smaller than the sum of its proper divisors (233585808).

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

104809200 is a wasteful number, since it uses less digits than its factorization.

104809200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 104809200 is about 10237.6364459772. The cubic root of 104809200 is about 471.4834673054.

The spelling of 104809200 in words is "one hundred four million, eight hundred nine thousand, two hundred".