11536908100 has 81 divisors (see below), whose sum is σ = 26227058557. Its totient is φ = 4404669280.

The previous prime is 11536908079. The next prime is 11536908133. The reversal of 11536908100 is 180963511.

The square root of 11536908100 is 107410.

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

It can be written as a sum of positive squares in only one way, i.e., 4153286916 + 7383621184 = 64446^2 + 85928^2 .

It is a super-2 number, since 2×11536908100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24704067 + ... + 24704533.

Almost surely, 2^11536908100 is an apocalyptic number.

11536908100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11536908100 is the 107410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11536908100

11536908100 is an abundant number, since it is smaller than the sum of its proper divisors (14690150457).

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

11536908100 is an equidigital number, since it uses as much as digits as its factorization.

11536908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 11536908100 in words is "eleven billion, five hundred thirty-six million, nine hundred eight thousand, one hundred".