105410306581 has 2 divisors, whose sum is σ = 105410306582. Its totient is φ = 105410306580.

The previous prime is 105410306579. The next prime is 105410306621. The reversal of 105410306581 is 185603014501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74668295025 + 30742011556 = 273255^2 + 175334^2 .

It is a cyclic number.

It is not a de Polignac number, because 105410306581 - 2¹ = 105410306579 is a prime.

It is a super-2 number, since 2×105410306581² (a number of 23 digits) contains 22 as substring.

Together with 105410306579, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105410376581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52705153290 + 52705153291.

It is an arithmetic number, because the mean of its divisors is an integer number (52705153291).

Almost surely, 2^105410306581 is an apocalyptic number.

It is an amenable number.

105410306581 is a deficient number, since it is larger than the sum of its proper divisors (1).

105410306581 is an equidigital number, since it uses as much as digits as its factorization.

105410306581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 105410306581 in words is "one hundred five billion, four hundred ten million, three hundred six thousand, five hundred eighty-one".