112016 has 10 divisors (see below), whose sum is σ = 217062. Its totient is φ = 56000.

The previous prime is 111997. The next prime is 112019. The reversal of 112016 is 610211.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 19600 = 304^2 + 140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111988 and 112006.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112016.

It is not an unprimeable number, because it can be changed into a prime (112019) by changing a digit.

112016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3485 + ... + 3516.

2¹¹²⁰¹⁶ is an apocalyptic number.

112016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112016 is a deficient number, since it is larger than the sum of its proper divisors (105046).

112016 is an equidigital number, since it uses as much as digits as its factorization.

112016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 112016 is about 334.6879143321. The cubic root of 112016 is about 48.2051405478.

Adding to 112016 its reverse (610211), we get a palindrome (722227).

The spelling of 112016 in words is "one hundred twelve thousand, sixteen".