11094408900 has 81 divisors (see below), whose sum is σ = 34784715693. Its totient is φ = 2957666400.

The previous prime is 11094408889. The next prime is 11094408917. The reversal of 11094408900 is 980449011.

The square root of 11094408900 is 105330.

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

11094408900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3993987204 + 7100421696 = 63198^2 + 84264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3158145 + ... + 3161655.

Almost surely, 2^11094408900 is an apocalyptic number.

11094408900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11094408900 is the 105330-th square number.

It is an amenable number.

11094408900 is an abundant number, since it is smaller than the sum of its proper divisors (23690306793).

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

11094408900 is an equidigital number, since it uses as much as digits as its factorization.

11094408900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 11094408900 by its sum of digits (36), we get a square (399398720400 = 631980²).

11094408900 divided by its sum of digits (36) gives a square (308178025 = 17555²).

The spelling of 11094408900 in words is "eleven billion, ninety-four million, four hundred eight thousand, nine hundred".