107302368 has 96 divisors (see below), whose sum is σ = 306470304. Its totient is φ = 32735232.

The previous prime is 107302357. The next prime is 107302381. The reversal of 107302368 is 863203701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59496 + ... + 61272.

It is an arithmetic number, because the mean of its divisors is an integer number (3192399).

Almost surely, 2^107302368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107302368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153235152).

107302368 is an abundant number, since it is smaller than the sum of its proper divisors (199167936).

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

107302368 is a wasteful number, since it uses less digits than its factorization.

107302368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 107302368 is about 10358.6856309090. The cubic root of 107302368 is about 475.1927092489.

The spelling of 107302368 in words is "one hundred seven million, three hundred two thousand, three hundred sixty-eight".