107952385 has 16 divisors (see below), whose sum is σ = 136991232. Its totient is φ = 81532800.

The previous prime is 107952349. The next prime is 107952391. The reversal of 107952385 is 583259701.

It is not a de Polignac number, because 107952385 - 2²³ = 99563777 is a prime.

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, 2139 + ... + 14848.

It is an arithmetic number, because the mean of its divisors is an integer number (8561952).

Almost surely, 2^107952385 is an apocalyptic number.

It is an amenable number.

107952385 is a deficient number, since it is larger than the sum of its proper divisors (29038847).

107952385 is a wasteful number, since it uses less digits than its factorization.

107952385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17064.

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 107952385 is about 10390.0137151016. The cubic root of 107952385 is about 476.1503200241.

The spelling of 107952385 in words is "one hundred seven million, nine hundred fifty-two thousand, three hundred eighty-five".