109585140 has 96 divisors (see below), whose sum is σ = 353928960. Its totient is φ = 24815616.

The previous prime is 109585129. The next prime is 109585187. The reversal of 109585140 is 41585901.

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 31 ways as a sum of consecutive naturals, for example, 46306 + ... + 48614.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 2^109585140 is an apocalyptic number.

109585140 is a gapful number since it is divisible by the number (10) 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 109585140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

109585140 is an abundant number, since it is smaller than the sum of its proper divisors (244343820).

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

109585140 is a wasteful number, since it uses less digits than its factorization.

109585140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 109585140 is about 10468.2921243152. The cubic root of 109585140 is about 478.5388727920.

The spelling of 109585140 in words is "one hundred nine million, five hundred eighty-five thousand, one hundred forty".