105006110089 has 2 divisors, whose sum is σ = 105006110090. Its totient is φ = 105006110088.

The previous prime is 105006110059. The next prime is 105006110107. The reversal of 105006110089 is 980011600501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91080222025 + 13925888064 = 301795^2 + 118008^2 .

It is an emirp because it is prime and its reverse (980011600501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105006110089 - 2⁵ = 105006110057 is a prime.

It is a super-2 number, since 2×105006110089² (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 105006110089.

It is not a weakly prime, because it can be changed into another prime (105006110009) 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, 52503055044 + 52503055045.

It is an arithmetic number, because the mean of its divisors is an integer number (52503055045).

Almost surely, 2^105006110089 is an apocalyptic number.

It is an amenable number.

105006110089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105006110089 is an equidigital number, since it uses as much as digits as its factorization.

105006110089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 31.

The spelling of 105006110089 in words is "one hundred five billion, six million, one hundred ten thousand, eighty-nine".