106110106060109 has 2 divisors, whose sum is σ = 106110106060110. Its totient is φ = 106110106060108.

The previous prime is 106110106060073. The next prime is 106110106060129. The reversal of 106110106060109 is 901060601011601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105248927628100 + 861178432009 = 10259090^2 + 927997^2 .

It is a cyclic number.

It is not a de Polignac number, because 106110106060109 - 2²⁸ = 106109837624653 is a prime.

It is a super-2 number, since 2×106110106060109² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106110106060129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53055053030054 + 53055053030055.

It is an arithmetic number, because the mean of its divisors is an integer number (53055053030055).

Almost surely, 2^{106110106060109} is an apocalyptic number.

It is an amenable number.

106110106060109 is a deficient number, since it is larger than the sum of its proper divisors (1).

106110106060109 is an equidigital number, since it uses as much as digits as its factorization.

106110106060109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 106110106060109 in words is "one hundred six trillion, one hundred ten billion, one hundred six million, sixty thousand, one hundred nine".