10589112 has 48 divisors (see below), whose sum is σ = 29161080. Its totient is φ = 3470400.

The previous prime is 10589107. The next prime is 10589129. The reversal of 10589112 is 21198501.

It is a super-2 number, since 2×10589112² = 224258585897088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 3187 + ... + 5597.

Almost surely, 2^10589112 is an apocalyptic number.

10589112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10589112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580540).

10589112 is an abundant number, since it is smaller than the sum of its proper divisors (18571968).

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

10589112 is a wasteful number, since it uses less digits than its factorization.

10589112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 10589112 is about 3254.0915783057. The cubic root of 10589112 is about 219.5936853072.

It can be divided in two parts, 10589 and 112, that added together give a palindrome (10701).

The spelling of 10589112 in words is "ten million, five hundred eighty-nine thousand, one hundred twelve".