112890 has 32 divisors (see below), whose sum is σ = 279936. Its totient is φ = 29120.

The previous prime is 112877. The next prime is 112901. The reversal of 112890 is 98211.

It is a Curzon number.

It is an unprimeable number.

112890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (8748).

2¹¹²⁸⁹⁰ is an apocalyptic number.

112890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968).

112890 is an abundant number, since it is smaller than the sum of its proper divisors (167046).

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

112890 is a wasteful number, since it uses less digits than its factorization.

112890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 112890 is about 335.9910713099. The cubic root of 112890 is about 48.3301887239.

The spelling of 112890 in words is "one hundred twelve thousand, eight hundred ninety".