107606960 has 80 divisors (see below), whose sum is σ = 261545760. Its totient is φ = 41134080.

The previous prime is 107606909. The next prime is 107606971. The reversal of 107606960 is 69606701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 107606960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173531 + ... + 174149.

It is an arithmetic number, because the mean of its divisors is an integer number (3269322).

Almost surely, 2^107606960 is an apocalyptic number.

107606960 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 107606960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130772880).

107606960 is an abundant number, since it is smaller than the sum of its proper divisors (153938800).

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

107606960 is a wasteful number, since it uses less digits than its factorization.

107606960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 107606960 is about 10373.3774634880. The cubic root of 107606960 is about 475.6419169768.

The spelling of 107606960 in words is "one hundred seven million, six hundred six thousand, nine hundred sixty".