108285120 has 224 divisors, whose sum is σ = 389168640. Its totient is φ = 28339200.

The previous prime is 108285113. The next prime is 108285131. The reversal of 108285120 is 21582801.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 717045 + ... + 717195.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^108285120 is an apocalyptic number.

108285120 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 108285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

108285120 is an abundant number, since it is smaller than the sum of its proper divisors (280883520).

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

108285120 is a wasteful number, since it uses less digits than its factorization.

108285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 108285120 is about 10406.0136459645. The cubic root of 108285120 is about 476.6390212231.

The spelling of 108285120 in words is "one hundred eight million, two hundred eighty-five thousand, one hundred twenty".