108006113 has 2 divisors, whose sum is σ = 108006114. Its totient is φ = 108006112.

The previous prime is 108006097. The next prime is 108006131. The reversal of 108006113 is 311600801.

Together with next prime (108006131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85803169 + 22202944 = 9263^2 + 4712^2 .

It is an emirp because it is prime and its reverse (311600801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 108006113 - 2⁴ = 108006097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (108006133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54003056 + 54003057.

It is an arithmetic number, because the mean of its divisors is an integer number (54003057).

Almost surely, 2^108006113 is an apocalyptic number.

It is an amenable number.

108006113 is a deficient number, since it is larger than the sum of its proper divisors (1).

108006113 is an equidigital number, since it uses as much as digits as its factorization.

108006113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 108006113 is about 10392.5989531012. The cubic root of 108006113 is about 476.2293004049.

Adding to 108006113 its reverse (311600801), we get a palindrome (419606914).

The spelling of 108006113 in words is "one hundred eight million, six thousand, one hundred thirteen".