111790980 has 216 divisors, whose sum is σ = 413020608. Its totient is φ = 23970816.

The previous prime is 111790967. The next prime is 111790981. The reversal of 111790980 is 89097111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (111790981) 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 71 ways as a sum of consecutive naturals, for example, 363987 + ... + 364293.

Almost surely, 2^111790980 is an apocalyptic number.

111790980 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 111790980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206510304).

111790980 is an abundant number, since it is smaller than the sum of its proper divisors (301229628).

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

111790980 is a wasteful number, since it uses less digits than its factorization.

111790980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 111790980 is about 10573.1253657563. The cubic root of 111790980 is about 481.7284042356.

The spelling of 111790980 in words is "one hundred eleven million, seven hundred ninety thousand, nine hundred eighty".