208107 has 12 divisors (see below), whose sum is σ = 316680. Its totient is φ = 131328.

The previous prime is 208099. The next prime is 208111. The reversal of 208107 is 701802.

It is not a de Polignac number, because 208107 - 2³ = 208099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 208107.

It is not an unprimeable number, because it can be changed into a prime (208147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (26390).

2²⁰⁸¹⁰⁷ is an apocalyptic number.

208107 is a deficient number, since it is larger than the sum of its proper divisors (108573).

208107 is a wasteful number, since it uses less digits than its factorization.

208107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 208107 is about 456.1874614673. The cubic root of 208107 is about 59.2600794688.

Adding to 208107 its reverse (701802), we get a palindrome (909909).

The spelling of 208107 in words is "two hundred eight thousand, one hundred seven".