104800 has 36 divisors (see below), whose sum is σ = 257796. Its totient is φ = 41600.

The previous prime is 104789. The next prime is 104801. The reversal of 104800 is 8401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 735 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (7161).

2¹⁰⁴⁸⁰⁰ is an apocalyptic number.

104800 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 104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128898).

104800 is an abundant number, since it is smaller than the sum of its proper divisors (152996).

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

104800 is a wasteful number, since it uses less digits than its factorization.

104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 104800 is about 323.7282811248. The cubic root of 104800 is about 47.1469671523.

The spelling of 104800 in words is "one hundred four thousand, eight hundred".