268107 has 16 divisors (see below), whose sum is σ = 433152. Its totient is φ = 144000.

The previous prime is 268091. The next prime is 268123. The reversal of 268107 is 701862.

It is an interprime number because it is at equal distance from previous prime (268091) and next prime (268123).

It is not a de Polignac number, because 268107 - 2⁴ = 268091 is a prime.

268107 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (268207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (27072).

2²⁶⁸¹⁰⁷ is an apocalyptic number.

268107 is a deficient number, since it is larger than the sum of its proper divisors (165045).

268107 is a wasteful number, since it uses less digits than its factorization.

268107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 268107 is about 517.7904981747. The cubic root of 268107 is about 64.4816365006.

Adding to 268107 its reverse (701862), we get a palindrome (969969).

The spelling of 268107 in words is "two hundred sixty-eight thousand, one hundred seven".