13204100 has 72 divisors (see below), whose sum is σ = 35289408. Its totient is φ = 4176000.

The previous prime is 13204097. The next prime is 13204117. The reversal of 13204100 is 140231.

13204100 = 183² + 184² + ... + 357².

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8375 + ... + 9825.

Almost surely, 2^13204100 is an apocalyptic number.

13204100 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 13204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644704).

13204100 is an abundant number, since it is smaller than the sum of its proper divisors (22085308).

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

13204100 is a wasteful number, since it uses less digits than its factorization.

13204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13204100 is about 3633.7446250390. The cubic root of 13204100 is about 236.3576163968.

Adding to 13204100 its reverse (140231), we get a palindrome (13344331).

The spelling of 13204100 in words is "thirteen million, two hundred four thousand, one hundred".