10919 has 4 divisors (see below), whose sum is σ = 11160. Its totient is φ = 10680.

The previous prime is 10909. The next prime is 10937. The reversal of 10919 is 91901.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 91901 = 29 ⋅3169.

It is a cyclic number.

It is not a de Polignac number, because 10919 - 2⁴ = 10903 is a prime.

It is a super-2 number, since 2×10919² = 238449122, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10909) 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, 29 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2¹⁰⁹¹⁹ is an apocalyptic number.

10919 is a deficient number, since it is larger than the sum of its proper divisors (241).

10919 is an equidigital number, since it uses as much as digits as its factorization.

10919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 10919 is about 104.4940189676. The cubic root of 10919 is about 22.1850777624.

It can be divided in two parts, 109 and 19, that added together give a 7-th power (128 = 2⁷).

The spelling of 10919 in words is "ten thousand, nine hundred nineteen".