111381840 has 180 divisors, whose sum is σ = 387842364. Its totient is φ = 28643328.

The previous prime is 111381799. The next prime is 111381859. The reversal of 111381840 is 48183111.

It can be written as a sum of positive squares in 6 ways, for example, as 374544 + 111007296 = 612^2 + 10536^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 985624 + ... + 985736.

Almost surely, 2^111381840 is an apocalyptic number.

111381840 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 111381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193921182).

111381840 is an abundant number, since it is smaller than the sum of its proper divisors (276460524).

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

111381840 is a wasteful number, since it uses less digits than its factorization.

111381840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 111381840 is about 10553.7595197162. The cubic root of 111381840 is about 481.1399986961.

The spelling of 111381840 in words is "one hundred eleven million, three hundred eighty-one thousand, eight hundred forty".