111144096 has 384 divisors, whose sum is σ = 418037760. Its totient is φ = 27979776.

The previous prime is 111144067. The next prime is 111144097. The reversal of 111144096 is 690441111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111144097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2364745 + ... + 2364791.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^111144096 is an apocalyptic number.

111144096 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 111144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

111144096 is an abundant number, since it is smaller than the sum of its proper divisors (306893664).

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

111144096 is a wasteful number, since it uses less digits than its factorization.

111144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 111144096 is about 10542.4900284515. The cubic root of 111144096 is about 480.7974245042.

The spelling of 111144096 in words is "one hundred eleven million, one hundred forty-four thousand, ninety-six".