106117993313279 has 2 divisors, whose sum is σ = 106117993313280. Its totient is φ = 106117993313278.

The previous prime is 106117993313197. The next prime is 106117993313287. The reversal of 106117993313279 is 972313399711601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106117993313279 - 2²⁰ = 106117992264703 is a prime.

It is a super-2 number, since 2×106117993313279² (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 (106117993310279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53058996656639 + 53058996656640.

It is an arithmetic number, because the mean of its divisors is an integer number (53058996656640).

Almost surely, 2^{106117993313279} is an apocalyptic number.

106117993313279 is a deficient number, since it is larger than the sum of its proper divisors (1).

106117993313279 is an equidigital number, since it uses as much as digits as its factorization.

106117993313279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11573604, while the sum is 62.

The spelling of 106117993313279 in words is "one hundred six trillion, one hundred seventeen billion, nine hundred ninety-three million, three hundred thirteen thousand, two hundred seventy-nine".