104083200 has 324 divisors, whose sum is σ = 403628680. Its totient is φ = 25436160.

The previous prime is 104083193. The next prime is 104083207. The reversal of 104083200 is 2380401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104083193) and next prime (104083207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104083207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748731 + ... + 748869.

Almost surely, 2^104083200 is an apocalyptic number.

104083200 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 104083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201814340).

104083200 is an abundant number, since it is smaller than the sum of its proper divisors (299545480).

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

104083200 is a wasteful number, since it uses less digits than its factorization.

104083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104083200 is about 10202.1174272795. The cubic root of 104083200 is about 470.3923086345.

The spelling of 104083200 in words is "one hundred four million, eighty-three thousand, two hundred".