111993024 has 112 divisors (see below), whose sum is σ = 348203520. Its totient is φ = 31319040.

The previous prime is 111992989. The next prime is 111993047. The reversal of 111993024 is 420399111.

It is a junction number, because it is equal to n+sod(n) for n = 111992982 and 111993000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25417 + ... + 29495.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 2^111993024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

111993024 is an abundant number, since it is smaller than the sum of its proper divisors (236210496).

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

111993024 is a wasteful number, since it uses less digits than its factorization.

111993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 111993024 is about 10582.6756541056. The cubic root of 111993024 is about 482.0184447984.

The spelling of 111993024 in words is "one hundred eleven million, nine hundred ninety-three thousand, twenty-four".