111531216 has 80 divisors (see below), whose sum is σ = 313819200. Its totient is φ = 33997824.

The previous prime is 111531179. The next prime is 111531221. The reversal of 111531216 is 612135111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111531192 and 111531201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24340 + ... + 28556.

It is an arithmetic number, because the mean of its divisors is an integer number (3922740).

Almost surely, 2^111531216 is an apocalyptic number.

111531216 is a gapful number since it is divisible by the number (16) 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 111531216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156909600).

111531216 is an abundant number, since it is smaller than the sum of its proper divisors (202287984).

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

111531216 is a wasteful number, since it uses less digits than its factorization.

111531216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its digits is 180, while the sum is 21.

The square root of 111531216 is about 10560.8340579710. The cubic root of 111531216 is about 481.3549908449.

Adding to 111531216 its reverse (612135111), we get a palindrome (723666327).

The spelling of 111531216 in words is "one hundred eleven million, five hundred thirty-one thousand, two hundred sixteen".