108966072 has 32 divisors (see below), whose sum is σ = 275118480. Its totient is φ = 35961600.

The previous prime is 108966061. The next prime is 108966133. The reversal of 108966072 is 270669801.

It is a self number, because there is not a number n which added to its sum of digits gives 108966072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20053 + ... + 24900.

Almost surely, 2^108966072 is an apocalyptic number.

108966072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108966072 is an abundant number, since it is smaller than the sum of its proper divisors (166152408).

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

108966072 is a wasteful number, since it uses less digits than its factorization.

108966072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45063 (or 45059 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 108966072 is about 10438.6815259399. The cubic root of 108966072 is about 477.6360505209.

It can be divided in two parts, 1089 and 66072, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 108966072 in words is "one hundred eight million, nine hundred sixty-six thousand, seventy-two".