105911 has 4 divisors (see below), whose sum is σ = 114072. Its totient is φ = 97752.

The previous prime is 105907. The next prime is 105913. The reversal of 105911 is 119501.

105911 = T₈ + T₉ + ... + T₈₅.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 119501 = 73 ⋅1637.

It is a cyclic number.

It is not a de Polignac number, because 105911 - 2² = 105907 is a prime.

It is a super-2 number, since 2×105911² = 22434279842, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105913) 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, 4061 + ... + 4086.

It is an arithmetic number, because the mean of its divisors is an integer number (28518).

2¹⁰⁵⁹¹¹ is an apocalyptic number.

105911 is a deficient number, since it is larger than the sum of its proper divisors (8161).

105911 is an equidigital number, since it uses as much as digits as its factorization.

105911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 105911 is about 325.4397025564. The cubic root of 105911 is about 47.3129858101.

The spelling of 105911 in words is "one hundred five thousand, nine hundred eleven".