11249100 has 108 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 2889600.

The previous prime is 11249089. The next prime is 11249107. The reversal of 11249100 is 194211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11249107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25885 + ... + 26315.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^11249100 is an apocalyptic number.

11249100 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 11249100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

11249100 is an abundant number, since it is smaller than the sum of its proper divisors (25311060).

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

11249100 is a wasteful number, since it uses less digits than its factorization.

11249100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11249100 is about 3353.9677994876. The cubic root of 11249100 is about 224.0642619622.

The spelling of 11249100 in words is "eleven million, two hundred forty-nine thousand, one hundred".