112057 has 8 divisors (see below), whose sum is σ = 124992. Its totient is φ = 99600.

The previous prime is 112031. The next prime is 112061. The reversal of 112057 is 750211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112057 is a prime.

It is a Duffinian number.

112057 is a lucky number.

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 112057.

It is not an unprimeable number, because it can be changed into a prime (112067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 588 + ... + 754.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2¹¹²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

112057 is a deficient number, since it is larger than the sum of its proper divisors (12935).

112057 is a wasteful number, since it uses less digits than its factorization.

112057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 112057 is about 334.7491598197. The cubic root of 112057 is about 48.2110211651.

Adding to 112057 its reverse (750211), we get a palindrome (862268).

The spelling of 112057 in words is "one hundred twelve thousand, fifty-seven".