102085 has 8 divisors (see below), whose sum is σ = 129816. Its totient is φ = 76800.

The previous prime is 102079. The next prime is 102101. The reversal of 102085 is 580201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 961 + 101124 = 31^2 + 318^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102085 - 2³ = 102077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (16227).

2¹⁰²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

102085 is a deficient number, since it is larger than the sum of its proper divisors (27731).

102085 is a wasteful number, since it uses less digits than its factorization.

102085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 102085 is about 319.5074334034. The cubic root of 102085 is about 46.7362623709.

Adding to 102085 its reverse (580201), we get a palindrome (682286).

It can be divided in two parts, 10208 and 5, that multiplied together give a triangular number (51040 = T₃₁₉).

The spelling of 102085 in words is "one hundred two thousand, eighty-five".