111296 has 28 divisors (see below), whose sum is σ = 231648. Its totient is φ = 52992.

The previous prime is 111271. The next prime is 111301. The reversal of 111296 is 692111.

It is an unprimeable number.

111296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2345 + ... + 2391.

2¹¹¹²⁹⁶ is an apocalyptic number.

111296 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 111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824).

111296 is an abundant number, since it is smaller than the sum of its proper divisors (120352).

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

111296 is an equidigital number, since it uses as much as digits as its factorization.

111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its digits is 108, while the sum is 20.

The square root of 111296 is about 333.6105513919. The cubic root of 111296 is about 48.1016364921.

The spelling of 111296 in words is "one hundred eleven thousand, two hundred ninety-six".