112068 has 36 divisors (see below), whose sum is σ = 310128. Its totient is φ = 33840.

The previous prime is 112067. The next prime is 112069. The reversal of 112068 is 860211.

It is an interprime number because it is at equal distance from previous prime (112067) and next prime (112069).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 112068.

It is not an unprimeable number, because it can be changed into a prime (112061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255 + ... + 537.

2¹¹²⁰⁶⁸ is an apocalyptic number.

112068 is a gapful number since it is divisible by the number (18) 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 112068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155064).

112068 is an abundant number, since it is smaller than the sum of its proper divisors (198060).

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

112068 is a wasteful number, since it uses less digits than its factorization.

112068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 112068 is about 334.7655896295. The cubic root of 112068 is about 48.2125986476.

112068 divided by its sum of digits (18) gives a palindrome (6226).

Adding to 112068 its reverse (860211), we get a palindrome (972279).

The spelling of 112068 in words is "one hundred twelve thousand, sixty-eight".