108066312 has 80 divisors (see below), whose sum is σ = 306662400. Its totient is φ = 35549280.

The previous prime is 108066269. The next prime is 108066313. The reversal of 108066312 is 213660801.

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

It is not an unprimeable number, because it can be changed into a prime (108066313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50137 + ... + 52247.

It is an arithmetic number, because the mean of its divisors is an integer number (3833280).

Almost surely, 2^108066312 is an apocalyptic number.

108066312 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 108066312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153331200).

108066312 is an abundant number, since it is smaller than the sum of its proper divisors (198596088).

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

108066312 is a wasteful number, since it uses less digits than its factorization.

108066312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 108066312 is about 10395.4947934189. The cubic root of 108066312 is about 476.3177620737.

The spelling of 108066312 in words is "one hundred eight million, sixty-six thousand, three hundred twelve".