10189 has 4 divisors (see below), whose sum is σ = 10656. Its totient is φ = 9724.

The previous prime is 10181. The next prime is 10193. The reversal of 10189 is 98101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10189 - 2³ = 10181 is a prime.

It is a super-3 number, since 3×10189³ = 3173335143807, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10181) 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, 199 + ... + 244.

It is an arithmetic number, because the mean of its divisors is an integer number (2664).

2¹⁰¹⁸⁹ is an apocalyptic number.

It is an amenable number.

10189 is a deficient number, since it is larger than the sum of its proper divisors (467).

10189 is an equidigital number, since it uses as much as digits as its factorization.

10189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 10189 is about 100.9405765785. The cubic root of 10189 is about 21.6792300576.

It can be divided in two parts, 101 and 89, that added together give a triangular number (190 = T₁₉).

The spelling of 10189 in words is "ten thousand, one hundred eighty-nine".