105884681581 has 6 divisors (see below), whose sum is σ = 123171976590. Its totient is φ = 90758298456.

The previous prime is 105884681537. The next prime is 105884681597. The reversal of 105884681581 is 185186488501.

It can be written as a sum of positive squares in only one way, i.e., 105881906025 + 2775556 = 325395^2 + 1666^2 .

It is not a de Polignac number, because 105884681581 - 2¹⁵ = 105884648813 is a prime.

It is a super-2 number, since 2×105884681581² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105884681531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1080455886 + ... + 1080455983.

It is an arithmetic number, because the mean of its divisors is an integer number (20528662765).

Almost surely, 2^105884681581 is an apocalyptic number.

It is an amenable number.

105884681581 is a deficient number, since it is larger than the sum of its proper divisors (17287295009).

105884681581 is an equidigital number, since it uses as much as digits as its factorization.

105884681581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160911883 (or 2160911876 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 55.

The spelling of 105884681581 in words is "one hundred five billion, eight hundred eighty-four million, six hundred eighty-one thousand, five hundred eighty-one".