105068430305297 has 2 divisors, whose sum is σ = 105068430305298. Its totient is φ = 105068430305296.

The previous prime is 105068430305269. The next prime is 105068430305309. The reversal of 105068430305297 is 792503034860501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65249818885696 + 39818611419601 = 8077736^2 + 6310199^2 .

It is a cyclic number.

It is not a de Polignac number, because 105068430305297 - 2¹⁸ = 105068430043153 is a prime.

It is a super-2 number, since 2×105068430305297² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105068430305257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52534215152648 + 52534215152649.

It is an arithmetic number, because the mean of its divisors is an integer number (52534215152649).

It is a 1-persistent number, because it is pandigital, but 2⋅105068430305297 = 210136860610594 is not.

Almost surely, 2^{105068430305297} is an apocalyptic number.

It is an amenable number.

105068430305297 is a deficient number, since it is larger than the sum of its proper divisors (1).

105068430305297 is an equidigital number, since it uses as much as digits as its factorization.

105068430305297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 105068430305297 in words is "one hundred five trillion, sixty-eight billion, four hundred thirty million, three hundred five thousand, two hundred ninety-seven".