10905 has 8 divisors (see below), whose sum is σ = 17472. Its totient is φ = 5808.

The previous prime is 10903. The next prime is 10909. The reversal of 10905 is 50901.

10905 is digitally balanced in base 2, because in such base 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 10905 - 2¹ = 10903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 727 = 10905 / (1 + 0 + 9 + 0 + 5).

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

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (10903) 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 7 ways as a sum of consecutive naturals, for example, 349 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2¹⁰⁹⁰⁵ is an apocalyptic number.

10905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10905 is a deficient number, since it is larger than the sum of its proper divisors (6567).

10905 is an equidigital number, since it uses as much as digits as its factorization.

10905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10905 is about 104.4270080008. The cubic root of 10905 is about 22.1755920364.

10905 divided by its sum of digits (15) gives a palindrome (727).

The spelling of 10905 in words is "ten thousand, nine hundred five".