106117013 has 2 divisors, whose sum is σ = 106117014. Its totient is φ = 106117012.

The previous prime is 106117007. The next prime is 106117019. The reversal of 106117013 is 310711601.

It is a balanced prime because it is at equal distance from previous prime (106117007) and next prime (106117019).

It can be written as a sum of positive squares in only one way, i.e., 106028209 + 88804 = 10297^2 + 298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106117013 is a prime.

It is a super-2 number, since 2×106117013² = 22521640896084338, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106117019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53058506 + 53058507.

It is an arithmetic number, because the mean of its divisors is an integer number (53058507).

Almost surely, 2^106117013 is an apocalyptic number.

It is an amenable number.

106117013 is a deficient number, since it is larger than the sum of its proper divisors (1).

106117013 is an equidigital number, since it uses as much as digits as its factorization.

106117013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 106117013 is about 10301.3112272176. The cubic root of 106117013 is about 473.4364292503.

Adding to 106117013 its reverse (310711601), we get a palindrome (416828614).

The spelling of 106117013 in words is "one hundred six million, one hundred seventeen thousand, thirteen".