105406226293 has 2 divisors, whose sum is σ = 105406226294. Its totient is φ = 105406226292.

The previous prime is 105406226201. The next prime is 105406226297. The reversal of 105406226293 is 392622604501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86384851569 + 19021374724 = 293913^2 + 137918^2 .

It is an emirp because it is prime and its reverse (392622604501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105406226293 - 2²¹ = 105404129141 is a prime.

It is a super-3 number, since 3×105406226293³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105406226297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52703113146 + 52703113147.

It is an arithmetic number, because the mean of its divisors is an integer number (52703113147).

Almost surely, 2^105406226293 is an apocalyptic number.

It is an amenable number.

105406226293 is a deficient number, since it is larger than the sum of its proper divisors (1).

105406226293 is an equidigital number, since it uses as much as digits as its factorization.

105406226293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 105406226293 in words is "one hundred five billion, four hundred six million, two hundred twenty-six thousand, two hundred ninety-three".