105354241309 has 2 divisors, whose sum is σ = 105354241310. Its totient is φ = 105354241308.

The previous prime is 105354241271. The next prime is 105354241319. The reversal of 105354241309 is 903142453501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71625816900 + 33728424409 = 267630^2 + 183653^2 .

It is a cyclic number.

It is not a de Polignac number, because 105354241309 - 2¹⁵ = 105354208541 is a prime.

It is a super-2 number, since 2×105354241309² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105354241319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52677120654 + 52677120655.

It is an arithmetic number, because the mean of its divisors is an integer number (52677120655).

Almost surely, 2^105354241309 is an apocalyptic number.

It is an amenable number.

105354241309 is a deficient number, since it is larger than the sum of its proper divisors (1).

105354241309 is an equidigital number, since it uses as much as digits as its factorization.

105354241309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

It can be divided in two parts, 10535 and 4241309, that added together give a square (4251844 = 2062²).

The spelling of 105354241309 in words is "one hundred five billion, three hundred fifty-four million, two hundred forty-one thousand, three hundred nine".