112770 has 48 divisors (see below), whose sum is σ = 336960. Its totient is φ = 25632.

The previous prime is 112759. The next prime is 112771. The reversal of 112770 is 77211.

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

It is not an unprimeable number, because it can be changed into a prime (112771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2¹¹²⁷⁷⁰ is an apocalyptic number.

112770 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 112770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

112770 is an abundant number, since it is smaller than the sum of its proper divisors (224190).

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

112770 is a wasteful number, since it uses less digits than its factorization.

112770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 112770 is about 335.8124476549. The cubic root of 112770 is about 48.3130579511.

Adding to 112770 its reverse (77211), we get a palindrome (189981).

The spelling of 112770 in words is "one hundred twelve thousand, seven hundred seventy", and thus it is an iban number.