104219200 has 84 divisors (see below), whose sum is σ = 261495540. Its totient is φ = 40867840.

The previous prime is 104219183. The next prime is 104219201. The reversal of 104219200 is 2912401.

It can be written as a sum of positive squares in 6 ways, for example, as 9585216 + 94633984 = 3096^2 + 9728^2 .

It is not an unprimeable number, because it can be changed into a prime (104219201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84186 + ... + 85414.

Almost surely, 2^104219200 is an apocalyptic number.

104219200 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 104219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130747770).

104219200 is an abundant number, since it is smaller than the sum of its proper divisors (157276340).

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

104219200 is a wasteful number, since it uses less digits than its factorization.

104219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 104219200 is about 10208.7805344223. The cubic root of 104219200 is about 470.5970983625.

The spelling of 104219200 in words is "one hundred four million, two hundred nineteen thousand, two hundred".