11638100 has 18 divisors (see below), whose sum is σ = 25254894. Its totient is φ = 4655200.

The previous prime is 11638097. The next prime is 11638139. The reversal of 11638100 is 183611.

It can be written as a sum of positive squares in 3 ways, for example, as 3865156 + 7772944 = 1966^2 + 2788^2 .

It is a super-2 number, since 2×11638100² = 270890743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 58091 + ... + 58290.

Almost surely, 2^11638100 is an apocalyptic number.

11638100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638100 is an abundant number, since it is smaller than the sum of its proper divisors (13616794).

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

11638100 is a wasteful number, since it uses less digits than its factorization.

11638100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116395 (or 116388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11638100 is about 3411.4659605513. The cubic root of 11638100 is about 226.6178047311.

The spelling of 11638100 in words is "eleven million, six hundred thirty-eight thousand, one hundred".