111145216 has 108 divisors (see below), whose sum is σ = 275302272. Its totient is φ = 43849728.

The previous prime is 111145213. The next prime is 111145253. The reversal of 111145216 is 612541111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111145213) 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 11 ways as a sum of consecutive naturals, for example, 302665 + ... + 303031.

Almost surely, 2^111145216 is an apocalyptic number.

111145216 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 111145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137651136).

111145216 is an abundant number, since it is smaller than the sum of its proper divisors (164157056).

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

111145216 is an equidigital number, since it uses as much as digits as its factorization.

111145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 389 counting only the distinct ones).

The product of its digits is 240, while the sum is 22.

The square root of 111145216 is about 10542.5431466985. The cubic root of 111145216 is about 480.7990394987.

Adding to 111145216 its reverse (612541111), we get a palindrome (723686327).

The spelling of 111145216 in words is "one hundred eleven million, one hundred forty-five thousand, two hundred sixteen".