106071113206117 has 16 divisors (see below), whose sum is σ = 115038771680320. Its totient is φ = 97487084476800.

The previous prime is 106071113206103. The next prime is 106071113206129. The reversal of 106071113206117 is 711602311170601.

It is a cyclic number.

It is not a de Polignac number, because 106071113206117 - 2⁷ = 106071113205989 is a prime.

It is a super-2 number, since 2×106071113206117² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106071111206117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626761359 + ... + 626930572.

It is an arithmetic number, because the mean of its divisors is an integer number (7189923230020).

Almost surely, 2^{106071113206117} is an apocalyptic number.

It is an amenable number.

106071113206117 is a deficient number, since it is larger than the sum of its proper divisors (8967658474203).

106071113206117 is a wasteful number, since it uses less digits than its factorization.

106071113206117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253692084.

The product of its (nonzero) digits is 10584, while the sum is 37.

Adding to 106071113206117 its reverse (711602311170601), we get a palindrome (817673424376718).

The spelling of 106071113206117 in words is "one hundred six trillion, seventy-one billion, one hundred thirteen million, two hundred six thousand, one hundred seventeen".