104353200 has 360 divisors, whose sum is σ = 428160096. Its totient is φ = 23040000.

The previous prime is 104353153. The next prime is 104353201. The reversal of 104353200 is 2353401.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104353201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1033150 + ... + 1033250.

Almost surely, 2^104353200 is an apocalyptic number.

104353200 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 104353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214080048).

104353200 is an abundant number, since it is smaller than the sum of its proper divisors (323806896).

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

104353200 is a wasteful number, since it uses less digits than its factorization.

104353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 104353200 is about 10215.3414039865. The cubic root of 104353200 is about 470.7987023023.

The spelling of 104353200 in words is "one hundred four million, three hundred fifty-three thousand, two hundred".