104264800 has 108 divisors (see below), whose sum is σ = 264475260. Its totient is φ = 40126720.

The previous prime is 104264789. The next prime is 104264801. The reversal of 104264800 is 8462401.

It is a super-2 number, since 2×104264800² = 21742297038080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104264801) 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 17 ways as a sum of consecutive naturals, for example, 1767171 + ... + 1767229.

It is an arithmetic number, because the mean of its divisors is an integer number (2448845).

Almost surely, 2^104264800 is an apocalyptic number.

104264800 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 104264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132237630).

104264800 is an abundant number, since it is smaller than the sum of its proper divisors (160210460).

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

104264800 is an equidigital number, since it uses as much as digits as its factorization.

104264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 104264800 is about 10211.0136617282. The cubic root of 104264800 is about 470.6657232694.

The spelling of 104264800 in words is "one hundred four million, two hundred sixty-four thousand, eight hundred".