111381960 has 128 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 27525120.

The previous prime is 111381947. The next prime is 111381967. The reversal of 111381960 is 69183111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (111381967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144456 + ... + 145224.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^111381960 is an apocalyptic number.

111381960 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 111381960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

111381960 is an abundant number, since it is smaller than the sum of its proper divisors (247869240).

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

111381960 is a wasteful number, since it uses less digits than its factorization.

111381960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 111381960 is about 10553.7652048925. The cubic root of 111381960 is about 481.1401714854.

The spelling of 111381960 in words is "one hundred eleven million, three hundred eighty-one thousand, nine hundred sixty".