105828957364693 has 2 divisors, whose sum is σ = 105828957364694. Its totient is φ = 105828957364692.

The previous prime is 105828957364661. The next prime is 105828957364699. The reversal of 105828957364693 is 396463759828501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61935987083364 + 43892970281329 = 7869942^2 + 6625177^2 .

It is an emirp because it is prime and its reverse (396463759828501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105828957364693 - 2⁵ = 105828957364661 is a prime.

It is a super-2 number, since 2×105828957364693² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105828957364699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52914478682346 + 52914478682347.

It is an arithmetic number, because the mean of its divisors is an integer number (52914478682347).

It is a 1-persistent number, because it is pandigital, but 2⋅105828957364693 = 211657914729386 is not.

Almost surely, 2^{105828957364693} is an apocalyptic number.

It is an amenable number.

105828957364693 is a deficient number, since it is larger than the sum of its proper divisors (1).

105828957364693 is an equidigital number, since it uses as much as digits as its factorization.

105828957364693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2351462400, while the sum is 76.

The spelling of 105828957364693 in words is "one hundred five trillion, eight hundred twenty-eight billion, nine hundred fifty-seven million, three hundred sixty-four thousand, six hundred ninety-three".