105535240621 has 2 divisors, whose sum is σ = 105535240622. Its totient is φ = 105535240620.

The previous prime is 105535240561. The next prime is 105535240649. The reversal of 105535240621 is 126042535501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86326666596 + 19208574025 = 293814^2 + 138595^2 .

It is an emirp because it is prime and its reverse (126042535501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105535240621 - 2¹⁷ = 105535109549 is a prime.

It is a super-2 number, since 2×105535240621² (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 (105535240021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767620310 + 52767620311.

It is an arithmetic number, because the mean of its divisors is an integer number (52767620311).

Almost surely, 2^105535240621 is an apocalyptic number.

It is an amenable number.

105535240621 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535240621 is an equidigital number, since it uses as much as digits as its factorization.

105535240621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 105535240621 in words is "one hundred five billion, five hundred thirty-five million, two hundred forty thousand, six hundred twenty-one".