106613073589109 has 2 divisors, whose sum is σ = 106613073589110. Its totient is φ = 106613073589108.

The previous prime is 106613073589051. The next prime is 106613073589117. The reversal of 106613073589109 is 901985370316601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100051806708100 + 6561266881009 = 10002590^2 + 2561497^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106613073589109 is a prime.

It is a super-2 number, since 2×106613073589109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106613073589129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53306536794554 + 53306536794555.

It is an arithmetic number, because the mean of its divisors is an integer number (53306536794555).

Almost surely, 2^{106613073589109} is an apocalyptic number.

It is an amenable number.

106613073589109 is a deficient number, since it is larger than the sum of its proper divisors (1).

106613073589109 is an equidigital number, since it uses as much as digits as its factorization.

106613073589109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7348320, while the sum is 59.

The spelling of 106613073589109 in words is "one hundred six trillion, six hundred thirteen billion, seventy-three million, five hundred eighty-nine thousand, one hundred nine".