105105732581 has 2 divisors, whose sum is σ = 105105732582. Its totient is φ = 105105732580.

The previous prime is 105105732553. The next prime is 105105732587. The reversal of 105105732581 is 185237501501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105083595556 + 22137025 = 324166^2 + 4705^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105732581 - 2¹⁴ = 105105716197 is a prime.

It is a super-2 number, since 2×105105732581² (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 (105105732587) 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, 52552866290 + 52552866291.

It is an arithmetic number, because the mean of its divisors is an integer number (52552866291).

Almost surely, 2^105105732581 is an apocalyptic number.

It is an amenable number.

105105732581 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105732581 is an equidigital number, since it uses as much as digits as its factorization.

105105732581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42000, while the sum is 38.

The spelling of 105105732581 in words is "one hundred five billion, one hundred five million, seven hundred thirty-two thousand, five hundred eighty-one".