105803932631041 has 2 divisors, whose sum is σ = 105803932631042. Its totient is φ = 105803932631040.

The previous prime is 105803932631039. The next prime is 105803932631141. The reversal of 105803932631041 is 140136239308501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87900075254016 + 17903857377025 = 9375504^2 + 4231295^2 .

It is a cyclic number.

It is not a de Polignac number, because 105803932631041 - 2¹ = 105803932631039 is a prime.

It is a super-2 number, since 2×105803932631041² (a number of 29 digits) contains 22 as substring.

Together with 105803932631039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105803932630982 and 105803932631000.

It is not a weakly prime, because it can be changed into another prime (105803932631021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52901966315520 + 52901966315521.

It is an arithmetic number, because the mean of its divisors is an integer number (52901966315521).

Almost surely, 2^{105803932631041} is an apocalyptic number.

It is an amenable number.

105803932631041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105803932631041 is an equidigital number, since it uses as much as digits as its factorization.

105803932631041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 105803932631041 in words is "one hundred five trillion, eight hundred three billion, nine hundred thirty-two million, six hundred thirty-one thousand, forty-one".