108585144 has 64 divisors (see below), whose sum is σ = 302868000. Its totient is φ = 36046080.

The previous prime is 108585143. The next prime is 108585151. The reversal of 108585144 is 441585801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108585099 and 108585108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108585143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59802 + ... + 61590.

Almost surely, 2^108585144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108585144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151434000).

108585144 is an abundant number, since it is smaller than the sum of its proper divisors (194282856).

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

108585144 is a wasteful number, since it uses less digits than its factorization.

108585144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 108585144 is about 10420.4195692880. The cubic root of 108585144 is about 477.0788208816.

The spelling of 108585144 in words is "one hundred eight million, five hundred eighty-five thousand, one hundred forty-four".