105028066081 has 2 divisors, whose sum is σ = 105028066082. Its totient is φ = 105028066080.

The previous prime is 105028066049. The next prime is 105028066093. The reversal of 105028066081 is 180660820501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94436363025 + 10591703056 = 307305^2 + 102916^2 .

It is a cyclic number.

It is not a de Polignac number, because 105028066081 - 2⁵ = 105028066049 is a prime.

It is a super-2 number, since 2×105028066081² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105028066081.

It is not a weakly prime, because it can be changed into another prime (105028096081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52514033040 + 52514033041.

It is an arithmetic number, because the mean of its divisors is an integer number (52514033041).

Almost surely, 2^105028066081 is an apocalyptic number.

It is an amenable number.

105028066081 is a deficient number, since it is larger than the sum of its proper divisors (1).

105028066081 is an equidigital number, since it uses as much as digits as its factorization.

105028066081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

Adding to 105028066081 its reverse (180660820501), we get a palindrome (285688886582).

The spelling of 105028066081 in words is "one hundred five billion, twenty-eight million, sixty-six thousand, eighty-one".