107312085 has 12 divisors (see below), whose sum is σ = 186007692. Its totient is φ = 57233088.

The previous prime is 107312083. The next prime is 107312087. The reversal of 107312085 is 580213701.

It is an interprime number because it is at equal distance from previous prime (107312083) and next prime (107312087).

It can be written as a sum of positive squares in 2 ways, for example, as 59120721 + 48191364 = 7689^2 + 6942^2 .

It is not a de Polignac number, because 107312085 - 2¹ = 107312083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107312081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1192312 + ... + 1192401.

It is an arithmetic number, because the mean of its divisors is an integer number (15500641).

Almost surely, 2^107312085 is an apocalyptic number.

107312085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107312085 is a deficient number, since it is larger than the sum of its proper divisors (78695607).

107312085 is a wasteful number, since it uses less digits than its factorization.

107312085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384724 (or 2384721 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107312085 is about 10359.1546469777. The cubic root of 107312085 is about 475.2070528534.

Adding to 107312085 its reverse (580213701), we get a palindrome (687525786).

The spelling of 107312085 in words is "one hundred seven million, three hundred twelve thousand, eighty-five".