112868 has 24 divisors (see below), whose sum is σ = 235200. Its totient is φ = 46368.

The previous prime is 112859. The next prime is 112877. The reversal of 112868 is 868211.

It is an interprime number because it is at equal distance from previous prime (112859) and next prime (112877).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

112868 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 in 7 ways as a sum of consecutive naturals, for example, 743 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (9800).

2¹¹²⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117600).

112868 is an abundant number, since it is smaller than the sum of its proper divisors (122332).

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

112868 is a wasteful number, since it uses less digits than its factorization.

112868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

The square root of 112868 is about 335.9583307495. The cubic root of 112868 is about 48.3270489914.

The spelling of 112868 in words is "one hundred twelve thousand, eight hundred sixty-eight".