11516900 has 54 divisors (see below), whose sum is σ = 26093382. Its totient is φ = 4409600.

The previous prime is 11516893. The next prime is 11516909. The reversal of 11516900 is 961511.

It can be written as a sum of positive squares in 9 ways, for example, as 3541924 + 7974976 = 1882^2 + 2824^2 .

It is a super-2 number, since 2×11516900² = 265277971220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11516909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 217274 + ... + 217326.

Almost surely, 2^11516900 is an apocalyptic number.

11516900 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 11516900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13046691).

11516900 is an abundant number, since it is smaller than the sum of its proper divisors (14576482).

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

11516900 is a wasteful number, since it uses less digits than its factorization.

11516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 11516900 is about 3393.6558458394. The cubic root of 11516900 is about 225.8283866995.

The spelling of 11516900 in words is "eleven million, five hundred sixteen thousand, nine hundred".