106264647114721 has 2 divisors, whose sum is σ = 106264647114722. Its totient is φ = 106264647114720.

The previous prime is 106264647114683. The next prime is 106264647114739. The reversal of 106264647114721 is 127411746462601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87861096230625 + 18403550884096 = 9373425^2 + 4289936^2 .

It is an emirp because it is prime and its reverse (127411746462601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106264647114721 - 2²¹ = 106264645017569 is a prime.

It is a super-2 number, since 2×106264647114721² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106264647115721) 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, 53132323557360 + 53132323557361.

It is an arithmetic number, because the mean of its divisors is an integer number (53132323557361).

Almost surely, 2^{106264647114721} is an apocalyptic number.

It is an amenable number.

106264647114721 is a deficient number, since it is larger than the sum of its proper divisors (1).

106264647114721 is an equidigital number, since it uses as much as digits as its factorization.

106264647114721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 106264647114721 in words is "one hundred six trillion, two hundred sixty-four billion, six hundred forty-seven million, one hundred fourteen thousand, seven hundred twenty-one".