105005057081 has 2 divisors, whose sum is σ = 105005057082. Its totient is φ = 105005057080.

The previous prime is 105005056999. The next prime is 105005057093. The reversal of 105005057081 is 180750500501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67081000000 + 37924057081 = 259000^2 + 194741^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005057081 - 2¹⁴ = 105005040697 is a prime.

It is a super-3 number, since 3×105005057081³ (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 (105005357081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502528540 + 52502528541.

It is an arithmetic number, because the mean of its divisors is an integer number (52502528541).

Almost surely, 2^105005057081 is an apocalyptic number.

It is an amenable number.

105005057081 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005057081 is an equidigital number, since it uses as much as digits as its factorization.

105005057081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7000, while the sum is 32.

Adding to 105005057081 its reverse (180750500501), we get a palindrome (285755557582).

The spelling of 105005057081 in words is "one hundred five billion, five million, fifty-seven thousand, eighty-one".