107288361 has 16 divisors (see below), whose sum is σ = 160523520. Its totient is φ = 70815600.

The previous prime is 107288359. The next prime is 107288381. The reversal of 107288361 is 163882701.

107288361 is a `hidden beast` number, since 10 + 7 + 288 + 361 = 666.

It is not a de Polignac number, because 107288361 - 2¹ = 107288359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107288341) by changing a digit.

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, 16945 + ... + 22398.

It is an arithmetic number, because the mean of its divisors is an integer number (10032720).

Almost surely, 2^107288361 is an apocalyptic number.

It is an amenable number.

107288361 is a deficient number, since it is larger than the sum of its proper divisors (53235159).

107288361 is a wasteful number, since it uses less digits than its factorization.

107288361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39453 (or 39447 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 107288361 is about 10358.0095095535. The cubic root of 107288361 is about 475.1720315010.

The spelling of 107288361 in words is "one hundred seven million, two hundred eighty-eight thousand, three hundred sixty-one".