11045200 has 60 divisors (see below), whose sum is σ = 27088668. Its totient is φ = 4326400.

The previous prime is 11045191. The next prime is 11045239. The reversal of 11045200 is 254011.

It can be written as a sum of positive squares in 6 ways, for example, as 207936 + 10837264 = 456^2 + 3292^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20940 + ... + 21460.

Almost surely, 2^11045200 is an apocalyptic number.

11045200 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 11045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544334).

11045200 is an abundant number, since it is smaller than the sum of its proper divisors (16043468).

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

11045200 is a wasteful number, since it uses less digits than its factorization.

11045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11045200 is about 3323.4319610908. The cubic root of 11045200 is about 222.7022106517.

Adding to 11045200 its reverse (254011), we get a palindrome (11299211).

The spelling of 11045200 in words is "eleven million, forty-five thousand, two hundred".