102568 has 8 divisors (see below), whose sum is σ = 192330. Its totient is φ = 51280.

The previous prime is 102563. The next prime is 102587. The reversal of 102568 is 865201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 1444 = 318^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (102563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6403 + ... + 6418.

2¹⁰²⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

102568 is a deficient number, since it is larger than the sum of its proper divisors (89762).

102568 is a wasteful number, since it uses less digits than its factorization.

102568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12827 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 102568 is about 320.2623924222. The cubic root of 102568 is about 46.8098549875.

Adding to 102568 its reverse (865201), we get a palindrome (967769).

The spelling of 102568 in words is "one hundred two thousand, five hundred sixty-eight".