111116520 has 96 divisors (see below), whose sum is σ = 362835720. Its totient is φ = 29491200.

The previous prime is 111116497. The next prime is 111116527. The reversal of 111116520 is 25611111.

It is a happy number.

111116520 is a `hidden beast` number, since 1 + 1 + 1 + 11 + 652 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85045284 + 26071236 = 9222^2 + 5106^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 111116493 and 111116502.

It is not an unprimeable number, because it can be changed into a prime (111116527) 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 23 ways as a sum of consecutive naturals, for example, 91920 + ... + 93120.

Almost surely, 2^111116520 is an apocalyptic number.

111116520 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 111116520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181417860).

111116520 is an abundant number, since it is smaller than the sum of its proper divisors (251719200).

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

111116520 is a wasteful number, since it uses less digits than its factorization.

111116520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 111116520 is about 10541.1820968998. The cubic root of 111116520 is about 480.7576576102.

Adding to 111116520 its reverse (25611111), we get a palindrome (136727631).

The spelling of 111116520 in words is "one hundred eleven million, one hundred sixteen thousand, five hundred twenty".