104140800 has 234 divisors, whose sum is σ = 376310922. Its totient is φ = 27525120.

The previous prime is 104140789. The next prime is 104140831. The reversal of 104140800 is 8041401.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 103550976 = 768^2 + 10176^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 921544 + ... + 921656.

Almost surely, 2^104140800 is an apocalyptic number.

104140800 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 104140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188155461).

104140800 is an abundant number, since it is smaller than the sum of its proper divisors (272170122).

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

104140800 is a wasteful number, since it uses less digits than its factorization.

104140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104140800 is about 10204.9399802253. The cubic root of 104140800 is about 470.4790648719.

The spelling of 104140800 in words is "one hundred four million, one hundred forty thousand, eight hundred".