111379968 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 31795200.

The previous prime is 111379951. The next prime is 111379973. The reversal of 111379968 is 869973111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96193 + ... + 97343.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^111379968 is an apocalyptic number.

111379968 is a gapful number since it is divisible by the number (18) 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 111379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

111379968 is an abundant number, since it is smaller than the sum of its proper divisors (265738752).

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

111379968 is an equidigital number, since it uses as much as digits as its factorization.

111379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1163 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 111379968 is about 10553.6708305689. The cubic root of 111379968 is about 481.1373031665.

The spelling of 111379968 in words is "one hundred eleven million, three hundred seventy-nine thousand, nine hundred sixty-eight".