111616 has 22 divisors (see below), whose sum is σ = 225170. Its totient is φ = 55296.

The previous prime is 111611. The next prime is 111623. The reversal of 111616 is 616111.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 9216 = 320^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 111616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 970 + ... + 1078.

It is an arithmetic number, because the mean of its divisors is an integer number (10235).

2¹¹¹⁶¹⁶ is an apocalyptic number.

111616 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 111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112585).

111616 is an abundant number, since it is smaller than the sum of its proper divisors (113554).

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

111616 is an equidigital number, since it uses as much as digits as its factorization.

111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 111616 is about 334.0898082851. The cubic root of 111616 is about 48.1476932385.

Adding to 111616 its reverse (616111), we get a palindrome (727727).

It can be divided in two parts, 11161 and 6, that multiplied together give a palindrome (66966).

The spelling of 111616 in words is "one hundred eleven thousand, six hundred sixteen".