111961296 has 60 divisors (see below), whose sum is σ = 314267460. Its totient is φ = 37209600.

The previous prime is 111961259. The next prime is 111961307. The reversal of 111961296 is 692169111.

It can be written as a sum of positive squares in 2 ways, for example, as 55711296 + 56250000 = 7464^2 + 7500^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 111961296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57946 + ... + 59846.

It is an arithmetic number, because the mean of its divisors is an integer number (5237791).

Almost surely, 2^111961296 is an apocalyptic number.

111961296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

111961296 is an abundant number, since it is smaller than the sum of its proper divisors (202306164).

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

111961296 is a wasteful number, since it uses less digits than its factorization.

111961296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2315 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 111961296 is about 10581.1764941333. The cubic root of 111961296 is about 481.9729213508.

The spelling of 111961296 in words is "one hundred eleven million, nine hundred sixty-one thousand, two hundred ninety-six".