106589112 has 96 divisors (see below), whose sum is σ = 312109200. Its totient is φ = 30245376.

The previous prime is 106589111. The next prime is 106589113. The reversal of 106589112 is 211985601.

It is an interprime number because it is at equal distance from previous prime (106589111) and next prime (106589113).

It is a super-2 number, since 2×106589112² = 22722477593897088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106589111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273814 + ... + 274202.

Almost surely, 2^106589112 is an apocalyptic number.

106589112 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 106589112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156054600).

106589112 is an abundant number, since it is smaller than the sum of its proper divisors (205520088).

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

106589112 is a wasteful number, since it uses less digits than its factorization.

106589112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 106589112 is about 10324.2003080142. The cubic root of 106589112 is about 474.1374736999.

The spelling of 106589112 in words is "one hundred six million, five hundred eighty-nine thousand, one hundred twelve".