104383200 has 288 divisors, whose sum is σ = 371976192. Its totient is φ = 25344000.

The previous prime is 104383189. The next prime is 104383229. The reversal of 104383200 is 2383401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1711170 + ... + 1711230.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^104383200 is an apocalyptic number.

104383200 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 104383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

104383200 is an abundant number, since it is smaller than the sum of its proper divisors (267592992).

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

104383200 is a wasteful number, since it uses less digits than its factorization.

104383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104383200 is about 10216.8096781725. The cubic root of 104383200 is about 470.8438138651.

The spelling of 104383200 in words is "one hundred four million, three hundred eighty-three thousand, two hundred".