108085536 has 96 divisors (see below), whose sum is σ = 339534720. Its totient is φ = 33253632.

The previous prime is 108085519. The next prime is 108085543. The reversal of 108085536 is 635580801.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 108085536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6421 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (3536820).

Almost surely, 2^108085536 is an apocalyptic number.

108085536 is a gapful number since it is divisible by the number (16) 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 108085536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169767360).

108085536 is an abundant number, since it is smaller than the sum of its proper divisors (231449184).

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

108085536 is a wasteful number, since it uses less digits than its factorization.

108085536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 108085536 is about 10396.4193836147. The cubic root of 108085536 is about 476.3460045777.

The spelling of 108085536 in words is "one hundred eight million, eighty-five thousand, five hundred thirty-six".