10505 has 8 divisors (see below), whose sum is σ = 13824. Its totient is φ = 7600.

The previous prime is 10501. The next prime is 10513. The reversal of 10505 is 50501.

10505 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10505 - 2² = 10501 is a prime.

It is a super-2 number, since 2×10505² = 220710050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

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

It is a Duffinian number.

10505 is strictly pandigital in base 6.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2¹⁰⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

10505 is a deficient number, since it is larger than the sum of its proper divisors (3319).

10505 is a wasteful number, since it uses less digits than its factorization.

10505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 10505 is about 102.4939022576. The cubic root of 10505 is about 21.9010709567.

It can be divided in two parts, 10 and 505, that multiplied together give a triangular number (5050 = T₁₀₀).

The spelling of 10505 in words is "ten thousand, five hundred five".