106100466996673 has 2 divisors, whose sum is σ = 106100466996674. Its totient is φ = 106100466996672.

The previous prime is 106100466996611. The next prime is 106100466996697. The reversal of 106100466996673 is 376699664001601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89914714981569 + 16185752015104 = 9482337^2 + 4023152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106100466996673 is a prime.

It is a super-2 number, since 2×106100466996673² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106100466996973) 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, 53050233498336 + 53050233498337.

It is an arithmetic number, because the mean of its divisors is an integer number (53050233498337).

Almost surely, 2^{106100466996673} is an apocalyptic number.

It is an amenable number.

106100466996673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106100466996673 is an equidigital number, since it uses as much as digits as its factorization.

106100466996673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52907904, while the sum is 64.

The spelling of 106100466996673 in words is "one hundred six trillion, one hundred billion, four hundred sixty-six million, nine hundred ninety-six thousand, six hundred seventy-three".