104844800 has 60 divisors (see below), whose sum is σ = 259792896. Its totient is φ = 41932800.

The previous prime is 104844743. The next prime is 104844809. The reversal of 104844800 is 8448401.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104844809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8705 + ... + 16895.

Almost surely, 2^104844800 is an apocalyptic number.

104844800 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 104844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129896448).

104844800 is an abundant number, since it is smaller than the sum of its proper divisors (154948096).

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

104844800 is an frugal number, since it uses more digits than its factorization.

104844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 104844800 is about 10239.3749809253. The cubic root of 104844800 is about 471.5368433811.

The spelling of 104844800 in words is "one hundred four million, eight hundred forty-four thousand, eight hundred".