10105 has 8 divisors (see below), whose sum is σ = 12672. Its totient is φ = 7728.

The previous prime is 10103. The next prime is 10111. The reversal of 10105 is 50101.

10105 is nontrivially palindromic in base 7.

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

It is a cyclic number.

It is not a de Polignac number, because 10105 - 2¹ = 10103 is a prime.

It is a super-2 number, since 2×10105² = 204222050, which contains 22 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 not an unprimeable number, because it can be changed into a prime (10103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (1584).

2¹⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

10105 is a deficient number, since it is larger than the sum of its proper divisors (2567).

10105 is an equidigital number, since it uses as much as digits as its factorization.

10105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 10105 is about 100.5236290630. The cubic root of 10105 is about 21.6194897250.

Adding to 10105 its reverse (50101), we get a palindrome (60206).

It can be divided in two parts, 1010 and 5, that multiplied together give a triangular number (5050 = T₁₀₀).

The spelling of 10105 in words is "ten thousand, one hundred five".