107985675 has 48 divisors (see below), whose sum is σ = 206986752. Its totient is φ = 48652800.

The previous prime is 107985671. The next prime is 107985719. The reversal of 107985675 is 576589701.

It is not a de Polignac number, because 107985675 - 2² = 107985671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107985671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35827 + ... + 38723.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2^107985675 is an apocalyptic number.

107985675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107985675 is a deficient number, since it is larger than the sum of its proper divisors (99001077).

107985675 is a wasteful number, since it uses less digits than its factorization.

107985675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The square root of 107985675 is about 10391.6156106738. The cubic root of 107985675 is about 476.1992595483.

The spelling of 107985675 in words is "one hundred seven million, nine hundred eighty-five thousand, six hundred seventy-five".