11052144 has 120 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 3400320.

The previous prime is 11052131. The next prime is 11052169. The reversal of 11052144 is 44125011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155629 + ... + 155699.

Almost surely, 2^11052144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

11052144 is an abundant number, since it is smaller than the sum of its proper divisors (22374288).

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

11052144 is a wasteful number, since it uses less digits than its factorization.

11052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11052144 is about 3324.4765001425. The cubic root of 11052144 is about 222.7488710467.

Adding to 11052144 its reverse (44125011), we get a palindrome (55177155).

It can be divided in two parts, 1105 and 2144, that added together give a square (3249 = 57²).

The spelling of 11052144 in words is "eleven million, fifty-two thousand, one hundred forty-four".