111811056 has 80 divisors (see below), whose sum is σ = 333907200. Its totient is φ = 31578624.

The previous prime is 111811039. The next prime is 111811061. The reversal of 111811056 is 650118111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28035 + ... + 31773.

It is an arithmetic number, because the mean of its divisors is an integer number (4173840).

Almost surely, 2^111811056 is an apocalyptic number.

111811056 is a gapful number since it is divisible by the number (16) 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 111811056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

111811056 is an abundant number, since it is smaller than the sum of its proper divisors (222096144).

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

111811056 is a wasteful number, since it uses less digits than its factorization.

111811056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 24.

The square root of 111811056 is about 10574.0747112927. The cubic root of 111811056 is about 481.7572395989.

Adding to 111811056 its reverse (650118111), we get a palindrome (761929167).

The spelling of 111811056 in words is "one hundred eleven million, eight hundred eleven thousand, fifty-six".