104337200 has 120 divisors (see below), whose sum is σ = 285624576. Its totient is φ = 36256000.

The previous prime is 104337199. The next prime is 104337203. The reversal of 104337200 is 2733401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (104337203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100685 + ... + 101715.

Almost surely, 2^104337200 is an apocalyptic number.

104337200 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 104337200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142812288).

104337200 is an abundant number, since it is smaller than the sum of its proper divisors (181287376).

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

104337200 is a wasteful number, since it uses less digits than its factorization.

104337200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 104337200 is about 10214.5582381227. The cubic root of 104337200 is about 470.7746392668.

The spelling of 104337200 in words is "one hundred four million, three hundred thirty-seven thousand, two hundred".