111384080 has 80 divisors (see below), whose sum is σ = 275220480. Its totient is φ = 41803776.

The previous prime is 111384079. The next prime is 111384103. The reversal of 111384080 is 80483111.

It is a tau number, because it is divible by the number of its divisors (80).

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, 192752 + ... + 193328.

It is an arithmetic number, because the mean of its divisors is an integer number (3440256).

Almost surely, 2^111384080 is an apocalyptic number.

111384080 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 111384080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137610240).

111384080 is an abundant number, since it is smaller than the sum of its proper divisors (163836400).

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

111384080 is a wasteful number, since it uses less digits than its factorization.

111384080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 111384080 is about 10553.8656425028. The cubic root of 111384080 is about 481.1432240764.

The spelling of 111384080 in words is "one hundred eleven million, three hundred eighty-four thousand, eighty".