11288100 has 72 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2979200.

The previous prime is 11288089. The next prime is 11288107. The reversal of 11288100 is 188211.

It is a super-2 number, since 2×11288100² = 254842403220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11288107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57202 + ... + 57398.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 2^11288100 is an apocalyptic number.

11288100 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 11288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

11288100 is an abundant number, since it is smaller than the sum of its proper divisors (21709788).

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

11288100 is a wasteful number, since it uses less digits than its factorization.

11288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 11288100 is about 3359.7767782994. The cubic root of 11288100 is about 224.3229027123.

The spelling of 11288100 in words is "eleven million, two hundred eighty-eight thousand, one hundred".