106264647114319 has 2 divisors, whose sum is σ = 106264647114320. Its totient is φ = 106264647114318.

The previous prime is 106264647114277. The next prime is 106264647114359. The reversal of 106264647114319 is 913411746462601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106264647114319 - 2⁷ = 106264647114191 is a prime.

It is a super-2 number, since 2×106264647114319² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106264647114319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106264647114359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53132323557159 + 53132323557160.

It is an arithmetic number, because the mean of its divisors is an integer number (53132323557160).

Almost surely, 2^{106264647114319} is an apocalyptic number.

106264647114319 is a deficient number, since it is larger than the sum of its proper divisors (1).

106264647114319 is an equidigital number, since it uses as much as digits as its factorization.

106264647114319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 106264647114319 in words is "one hundred six trillion, two hundred sixty-four billion, six hundred forty-seven million, one hundred fourteen thousand, three hundred nineteen".