111993000 has 128 divisors (see below), whose sum is σ = 399409920. Its totient is φ = 25593600.

The previous prime is 111992989. The next prime is 111993047. The reversal of 111993000 is 399111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18334 + ... + 23666.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2^111993000 is an apocalyptic number.

111993000 is a gapful number since it is divisible by the number (10) 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 111993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

111993000 is an abundant number, since it is smaller than the sum of its proper divisors (287416920).

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

111993000 is a wasteful number, since it uses less digits than its factorization.

111993000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 24.

The square root of 111993000 is about 10582.6745201768. The cubic root of 111993000 is about 482.0184103664.

The spelling of 111993000 in words is "one hundred eleven million, nine hundred ninety-three thousand".