105349579781 has 2 divisors, whose sum is σ = 105349579782. Its totient is φ = 105349579780.

The previous prime is 105349579763. The next prime is 105349579793. The reversal of 105349579781 is 187975943501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69350589025 + 35998990756 = 263345^2 + 189734^2 .

It is a cyclic number.

It is not a de Polignac number, because 105349579781 - 2¹⁰ = 105349578757 is a prime.

It is a super-2 number, since 2×105349579781² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105349579781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105349579721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52674789890 + 52674789891.

It is an arithmetic number, because the mean of its divisors is an integer number (52674789891).

Almost surely, 2^105349579781 is an apocalyptic number.

It is an amenable number.

105349579781 is a deficient number, since it is larger than the sum of its proper divisors (1).

105349579781 is an equidigital number, since it uses as much as digits as its factorization.

105349579781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9525600, while the sum is 59.

The spelling of 105349579781 in words is "one hundred five billion, three hundred forty-nine million, five hundred seventy-nine thousand, seven hundred eighty-one".