105535240649 has 2 divisors, whose sum is σ = 105535240650. Its totient is φ = 105535240648.

The previous prime is 105535240621. The next prime is 105535240667. The reversal of 105535240649 is 946042535501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104001735049 + 1533505600 = 322493^2 + 39160^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535240649 - 2¹² = 105535236553 is a prime.

It is a super-2 number, since 2×105535240649² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105535240549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767620324 + 52767620325.

It is an arithmetic number, because the mean of its divisors is an integer number (52767620325).

Almost surely, 2^105535240649 is an apocalyptic number.

It is an amenable number.

105535240649 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535240649 is an equidigital number, since it uses as much as digits as its factorization.

105535240649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 105535240649 in words is "one hundred five billion, five hundred thirty-five million, two hundred forty thousand, six hundred forty-nine".