106113 has 16 divisors (see below), whose sum is σ = 167936. Its totient is φ = 58320.

The previous prime is 106109. The next prime is 106121. The reversal of 106113 is 311601.

It is not a de Polignac number, because 106113 - 2² = 106109 is a prime.

It is a super-2 number, since 2×106113² = 22519937538, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (10496).

2¹⁰⁶¹¹³ is an apocalyptic number.

It is an amenable number.

106113 is a deficient number, since it is larger than the sum of its proper divisors (61823).

106113 is a wasteful number, since it uses less digits than its factorization.

106113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 106113 is about 325.7499040675. The cubic root of 106113 is about 47.3430461234.

Adding to 106113 its reverse (311601), we get a palindrome (417714).

The spelling of 106113 in words is "one hundred six thousand, one hundred thirteen".