111116516 has 72 divisors (see below), whose sum is σ = 237436920. Its totient is φ = 45308928.

The previous prime is 111116497. The next prime is 111116527. The reversal of 111116516 is 615611111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10916416 + 100200100 = 3304^2 + 10010^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111116491 and 111116500.

It is an unprimeable number.

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, 642206 + ... + 642378.

It is an arithmetic number, because the mean of its divisors is an integer number (3297735).

Almost surely, 2^111116516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111116516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118718460).

111116516 is an abundant number, since it is smaller than the sum of its proper divisors (126320404).

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

111116516 is a wasteful number, since it uses less digits than its factorization.

111116516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its digits is 180, while the sum is 23.

The square root of 111116516 is about 10541.1819071677. The cubic root of 111116516 is about 480.7576518414.

Adding to 111116516 its reverse (615611111), we get a palindrome (726727627).

The spelling of 111116516 in words is "one hundred eleven million, one hundred sixteen thousand, five hundred sixteen".