11088900 has 135 divisors (see below), whose sum is σ = 36943599. Its totient is φ = 2877120.

The previous prime is 11088881. The next prime is 11088907. The reversal of 11088900 is 988011.

The square root of 11088900 is 3330.

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 1052676 + 10036224 = 1026^2 + 3168^2 .

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 (27).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (11088907) 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, 299682 + ... + 299718.

Almost surely, 2^11088900 is an apocalyptic number.

11088900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11088900 is the 3330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11088900

11088900 is an abundant number, since it is smaller than the sum of its proper divisors (25854699).

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

11088900 is a wasteful number, since it uses less digits than its factorization.

11088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The cubic root of 11088900 is about 222.9955290114.

Multiplying 11088900 by its product of nonzero digits (576), we get a square (6387206400 = 79920²).

The spelling of 11088900 in words is "eleven million, eighty-eight thousand, nine hundred".