106813043273 has 2 divisors, whose sum is σ = 106813043274. Its totient is φ = 106813043272.

The previous prime is 106813043251. The next prime is 106813043279. The reversal of 106813043273 is 372340318601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95977898809 + 10835144464 = 309803^2 + 104092^2 .

It is an emirp because it is prime and its reverse (372340318601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106813043273 - 2²⁰ = 106811994697 is a prime.

It is a super-2 number, since 2×106813043273² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106813043279) 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 as a sum of consecutive naturals, namely, 53406521636 + 53406521637.

It is an arithmetic number, because the mean of its divisors is an integer number (53406521637).

Almost surely, 2^106813043273 is an apocalyptic number.

It is an amenable number.

106813043273 is a deficient number, since it is larger than the sum of its proper divisors (1).

106813043273 is an equidigital number, since it uses as much as digits as its factorization.

106813043273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 106813043273 in words is "one hundred six billion, eight hundred thirteen million, forty-three thousand, two hundred seventy-three".