111300480 has 320 divisors, whose sum is σ = 422096400. Its totient is φ = 27869184.

The previous prime is 111300451. The next prime is 111300503. The reversal of 111300480 is 84003111.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 984904 + ... + 985016.

Almost surely, 2^111300480 is an apocalyptic number.

111300480 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 111300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211048200).

111300480 is an abundant number, since it is smaller than the sum of its proper divisors (310795920).

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

111300480 is a wasteful number, since it uses less digits than its factorization.

111300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 111300480 is about 10549.9042649685. The cubic root of 111300480 is about 481.0228189548.

Adding to 111300480 its reverse (84003111), we get a palindrome (195303591).

The spelling of 111300480 in words is "one hundred eleven million, three hundred thousand, four hundred eighty".