10086 has 12 divisors (see below), whose sum is σ = 20676. Its totient is φ = 3280.

The previous prime is 10079. The next prime is 10091. The reversal of 10086 is 68001.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10086.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (1723).

2¹⁰⁰⁸⁶ is an apocalyptic number.

10086 is an abundant number, since it is smaller than the sum of its proper divisors (10590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10338).

10086 is an equidigital number, since it uses as much as digits as its factorization.

10086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10086 is about 100.4290794541. The cubic root of 10086 is about 21.6059311558.

Adding to 10086 its sum of digits (15), we get a palindrome (10101).

Adding to 10086 its reverse (68001), we get a palindrome (78087).

The spelling of 10086 in words is "ten thousand, eighty-six".