107640320 has 80 divisors (see below), whose sum is σ = 271790640. Its totient is φ = 40771584.

The previous prime is 107640307. The next prime is 107640341. The reversal of 107640320 is 23046701.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 47534 + ... + 49746.

It is an arithmetic number, because the mean of its divisors is an integer number (3397383).

Almost surely, 2^107640320 is an apocalyptic number.

107640320 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 107640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135895320).

107640320 is an abundant number, since it is smaller than the sum of its proper divisors (164150320).

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

107640320 is an equidigital number, since it uses as much as digits as its factorization.

107640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 107640320 is about 10374.9853011944. The cubic root of 107640320 is about 475.6910642777.

The spelling of 107640320 in words is "one hundred seven million, six hundred forty thousand, three hundred twenty".