107320608 has 72 divisors (see below), whose sum is σ = 306948096. Its totient is φ = 35568000.

The previous prime is 107320589. The next prime is 107320627. The reversal of 107320608 is 806023701.

It is an interprime number because it is at equal distance from previous prime (107320589) and next prime (107320627).

It is a tau number, because it is divible by the number of its divisors (72).

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, 54033 + ... + 55983.

It is an arithmetic number, because the mean of its divisors is an integer number (4263168).

Almost surely, 2^107320608 is an apocalyptic number.

107320608 is a gapful number since it is divisible by the number (18) 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 107320608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153474048).

107320608 is an abundant number, since it is smaller than the sum of its proper divisors (199627488).

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

107320608 is a wasteful number, since it uses less digits than its factorization.

107320608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107320608 is about 10359.5660140761. The cubic root of 107320608 is about 475.2196332398.

The spelling of 107320608 in words is "one hundred seven million, three hundred twenty thousand, six hundred eight".