11057112 has 96 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 3199680.

The previous prime is 11057099. The next prime is 11057113. The reversal of 11057112 is 21175011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11057113) 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 23 ways as a sum of consecutive naturals, for example, 17913 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 2^11057112 is an apocalyptic number.

11057112 is a gapful number since it is divisible by the number (12) 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 11057112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

11057112 is an abundant number, since it is smaller than the sum of its proper divisors (23088168).

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

11057112 is a wasteful number, since it uses less digits than its factorization.

11057112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 11057112 is about 3325.2236015041. The cubic root of 11057112 is about 222.7822416646.

The spelling of 11057112 in words is "eleven million, fifty-seven thousand, one hundred twelve".