10081 has 4 divisors (see below), whose sum is σ = 10692. Its totient is φ = 9472.

The previous prime is 10079. The next prime is 10091. The reversal of 10081 is 18001.

10081 is nontrivially palindromic in base 9.

10081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 18001 = 47 ⋅383.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 3025 = 84^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 10081 - 2¹ = 10079 is a prime.

It is a super-2 number, since 2×10081² = 203253122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 280 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (2673).

2¹⁰⁰⁸¹ is an apocalyptic number.

10081 is the 64-th centered pentagonal number.

It is an amenable number.

10081 is a deficient number, since it is larger than the sum of its proper divisors (611).

10081 is an equidigital number, since it uses as much as digits as its factorization.

10081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 10081 is about 100.4041831798. The cubic root of 10081 is about 21.6023602816.

Adding to 10081 its reverse (18001), we get a palindrome (28082).

It can be divided in two parts, 100 and 81, that multiplied together give a square (8100 = 90²).

The spelling of 10081 in words is "ten thousand, eighty-one".