268101 has 6 divisors (see below), whose sum is σ = 387270. Its totient is φ = 178728.

The previous prime is 268091. The next prime is 268123. The reversal of 268101 is 101862.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 108900 = 399^2 + 330^2 .

It is not a de Polignac number, because 268101 - 2⁵ = 268069 is a prime.

It is a Curzon number.

268101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14886 + ... + 14903.

It is an arithmetic number, because the mean of its divisors is an integer number (64545).

2²⁶⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

268101 is a deficient number, since it is larger than the sum of its proper divisors (119169).

268101 is a wasteful number, since it uses less digits than its factorization.

268101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29795 (or 29792 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 268101 is about 517.7847042932. The cubic root of 268101 is about 64.4811554828.

Adding to 268101 its reverse (101862), we get a palindrome (369963).

The spelling of 268101 in words is "two hundred sixty-eight thousand, one hundred one".