107665920 has 120 divisors (see below), whose sum is σ = 372957156. Its totient is φ = 28704768.

The previous prime is 107665871. The next prime is 107665939. The reversal of 107665920 is 29566701.

107665920 is a `hidden beast` number, since 1 + 0 + 7 + 66 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102576384 + 5089536 = 10128^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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 11 ways as a sum of consecutive naturals, for example, 20704 + ... + 25376.

Almost surely, 2^107665920 is an apocalyptic number.

107665920 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 107665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186478578).

107665920 is an abundant number, since it is smaller than the sum of its proper divisors (265291236).

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

107665920 is an equidigital number, since it uses as much as digits as its factorization.

107665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 107665920 is about 10376.2189645362. The cubic root of 107665920 is about 475.7287723471.

The spelling of 107665920 in words is "one hundred seven million, six hundred sixty-five thousand, nine hundred twenty".