13616100 has 135 divisors (see below), whose sum is σ = 45240811. Its totient is φ = 3542400.

The previous prime is 13616081. The next prime is 13616107. The reversal of 13616100 is 161631.

The square root of 13616100 is 3690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5731236 + 7884864 = 2394^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13616107) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 332080 + ... + 332120.

Almost surely, 2^13616100 is an apocalyptic number.

13616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13616100 is the 3690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13616100

13616100 is an abundant number, since it is smaller than the sum of its proper divisors (31624711).

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

13616100 is a wasteful number, since it uses less digits than its factorization.

13616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 13616100 is about 238.7907928068.

Adding to 13616100 its reverse (161631), we get a palindrome (13777731).

The spelling of 13616100 in words is "thirteen million, six hundred sixteen thousand, one hundred".