108605772 has 120 divisors (see below), whose sum is σ = 320044032. Its totient is φ = 31816800.

The previous prime is 108605771. The next prime is 108605773. The reversal of 108605772 is 277506801.

108605772 is a `hidden beast` number, since 1 + 0 + 86 + 0 + 577 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (108605771) and next prime (108605773).

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 (108605771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109993 + ... + 110975.

Almost surely, 2^108605772 is an apocalyptic number.

108605772 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 108605772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160022016).

108605772 is an abundant number, since it is smaller than the sum of its proper divisors (211438260).

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

108605772 is a wasteful number, since it uses less digits than its factorization.

108605772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 108605772 is about 10421.4093096855. The cubic root of 108605772 is about 477.1090293074.

The spelling of 108605772 in words is "one hundred eight million, six hundred five thousand, seven hundred seventy-two".