1085112 has 48 divisors (see below), whose sum is σ = 3360240. Its totient is φ = 309888.

The previous prime is 1085111. The next prime is 1085113. The reversal of 1085112 is 2115801.

It is an interprime number because it is at equal distance from previous prime (1085111) and next prime (1085113).

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

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085111) 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, 573 + ... + 1580.

It is an arithmetic number, because the mean of its divisors is an integer number (70005).

2^1085112 is an apocalyptic number.

1085112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1085112 is an abundant number, since it is smaller than the sum of its proper divisors (2275128).

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

1085112 is a wasteful number, since it uses less digits than its factorization.

1085112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1085112 is about 1041.6870931331. The cubic root of 1085112 is about 102.7601797860.

The spelling of 1085112 in words is "one million, eighty-five thousand, one hundred twelve".