102857 has 4 divisors (see below), whose sum is σ = 104340. Its totient is φ = 101376.

The previous prime is 102841. The next prime is 102859. The reversal of 102857 is 758201.

102857 is nontrivially palindromic in base 11.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 22201 + 80656 = 149^2 + 284^2 .

It is a cyclic number.

It is not a de Polignac number, because 102857 - 2⁴ = 102841 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102857.

It is not an unprimeable number, because it can be changed into a prime (102859) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 632 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (26085).

2¹⁰²⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

102857 is a deficient number, since it is larger than the sum of its proper divisors (1483).

102857 is an equidigital number, since it uses as much as digits as its factorization.

102857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 102857 is about 320.7132675771. The cubic root of 102857 is about 46.8537782456.

It can be divided in two parts, 102 and 857, that added together give a palindrome (959).

The spelling of 102857 in words is "one hundred two thousand, eight hundred fifty-seven".