111948200 has 96 divisors (see below), whose sum is σ = 320396160. Its totient is φ = 35424000.

The previous prime is 111948197. The next prime is 111948217. The reversal of 111948200 is 2849111.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 111948200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15125 + ... + 21275.

It is an arithmetic number, because the mean of its divisors is an integer number (3337460).

Almost surely, 2^111948200 is an apocalyptic number.

111948200 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 111948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160198080).

111948200 is an abundant number, since it is smaller than the sum of its proper divisors (208447960).

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

111948200 is a wasteful number, since it uses less digits than its factorization.

111948200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 111948200 is about 10580.5576412588. The cubic root of 111948200 is about 481.9541286557.

The spelling of 111948200 in words is "one hundred eleven million, nine hundred forty-eight thousand, two hundred".