108966312 has 96 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 28736640.

The previous prime is 108966287. The next prime is 108966317. The reversal of 108966312 is 213669801.

108966312 is a `hidden beast` number, since 10 + 8 + 9 + 6 + 631 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (108966317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764 + ... + 14867.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^108966312 is an apocalyptic number.

108966312 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 108966312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

108966312 is an abundant number, since it is smaller than the sum of its proper divisors (254276568).

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

108966312 is a wasteful number, since it uses less digits than its factorization.

108966312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16663 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 108966312 is about 10438.6930216383. The cubic root of 108966312 is about 477.6364011884.

It can be divided in two parts, 108966 and 312, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 108966312 in words is "one hundred eight million, nine hundred sixty-six thousand, three hundred twelve".