10901 has 4 divisors (see below), whose sum is σ = 11904. Its totient is φ = 9900.

The previous prime is 10891. The next prime is 10903.

10901 = 5⁵ + 6⁵.

10901 is nontrivially palindromic in base 10.

10901 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 a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10901 - 2⁶ = 10837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11), and also a Moran number because the ratio is a prime number: 991 = 10901 / (1 + 0 + 9 + 0 + 1).

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

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 6 and base 15.

It is a nialpdrome in base 4 and base 11.

It is a zygodrome in base 4.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 485 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2¹⁰⁹⁰¹ is an apocalyptic number.

10901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10901 is a deficient number, since it is larger than the sum of its proper divisors (1003).

10901 is an equidigital number, since it uses as much as digits as its factorization.

10901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 10901 is about 104.4078541107. The cubic root of 10901 is about 22.1728803379.

Multiplying 10901 by its sum of digits (11), we get a palindrome (119911).

The spelling of 10901 in words is "ten thousand, nine hundred one".