105113 has 4 divisors (see below), whose sum is σ = 105780. Its totient is φ = 104448.

The previous prime is 105107. The next prime is 105137. The reversal of 105113 is 311501.

105113 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 311501 = 181 ⋅1721.

It can be written as a sum of positive squares in 2 ways, for example, as 100489 + 4624 = 317^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 105113 - 2⁴ = 105097 is a prime.

It is a super-2 number, since 2×105113² = 22097485538, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105094 and 105103.

It is not an unprimeable number, because it can be changed into a prime (105143) 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, 53 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (26445).

2¹⁰⁵¹¹³ is an apocalyptic number.

It is an amenable number.

105113 is a deficient number, since it is larger than the sum of its proper divisors (667).

105113 is an equidigital number, since it uses as much as digits as its factorization.

105113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 105113 is about 324.2113508192. The cubic root of 105113 is about 47.1938575268.

Adding to 105113 its reverse (311501), we get a palindrome (416614).

The spelling of 105113 in words is "one hundred five thousand, one hundred thirteen".