105000601081 has 2 divisors, whose sum is σ = 105000601082. Its totient is φ = 105000601080.

The previous prime is 105000601073. The next prime is 105000601087. The reversal of 105000601081 is 180106000501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79253510400 + 25747090681 = 281520^2 + 160459^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000601081 - 2³ = 105000601073 is a prime.

It is a super-2 number, since 2×105000601081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105000601087) 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 as a sum of consecutive naturals, namely, 52500300540 + 52500300541.

It is an arithmetic number, because the mean of its divisors is an integer number (52500300541).

Almost surely, 2^105000601081 is an apocalyptic number.

It is an amenable number.

105000601081 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000601081 is an equidigital number, since it uses as much as digits as its factorization.

105000601081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 105000601081 its reverse (180106000501), we get a palindrome (285106601582).

The spelling of 105000601081 in words is "one hundred five billion, six hundred one thousand, eighty-one".