111331296 has 72 divisors (see below), whose sum is σ = 317621304. Its totient is φ = 36990720.

The previous prime is 111331291. The next prime is 111331307. The reversal of 111331296 is 692133111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111331291) 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 11 ways as a sum of consecutive naturals, for example, 164110 + ... + 164786.

It is an arithmetic number, because the mean of its divisors is an integer number (4411407).

Almost surely, 2^111331296 is an apocalyptic number.

111331296 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 111331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158810652).

111331296 is an abundant number, since it is smaller than the sum of its proper divisors (206290008).

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

111331296 is a wasteful number, since it uses less digits than its factorization.

111331296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 111331296 is about 10551.3646510771. The cubic root of 111331296 is about 481.0672087944.

The spelling of 111331296 in words is "one hundred eleven million, three hundred thirty-one thousand, two hundred ninety-six".