105506083481 has 2 divisors, whose sum is σ = 105506083482. Its totient is φ = 105506083480.

The previous prime is 105506083429. The next prime is 105506083493. The reversal of 105506083481 is 184380605501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103694304256 + 1811779225 = 322016^2 + 42565^2 .

It is an emirp because it is prime and its reverse (184380605501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105506083481 - 2¹⁰ = 105506082457 is a prime.

It is a super-3 number, since 3×105506083481³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105506083981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52753041740 + 52753041741.

It is an arithmetic number, because the mean of its divisors is an integer number (52753041741).

Almost surely, 2^105506083481 is an apocalyptic number.

It is an amenable number.

105506083481 is a deficient number, since it is larger than the sum of its proper divisors (1).

105506083481 is an equidigital number, since it uses as much as digits as its factorization.

105506083481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 41.

Adding to 105506083481 its reverse (184380605501), we get a palindrome (289886688982).

The spelling of 105506083481 in words is "one hundred five billion, five hundred six million, eighty-three thousand, four hundred eighty-one".