105106005089 has 2 divisors, whose sum is σ = 105106005090. Its totient is φ = 105106005088.

The previous prime is 105106005073. The next prime is 105106005149. The reversal of 105106005089 is 980500601501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91993923025 + 13112082064 = 303305^2 + 114508^2 .

It is a cyclic number.

It is not a de Polignac number, because 105106005089 - 2⁴ = 105106005073 is a prime.

It is a super-2 number, since 2×105106005089² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105106005289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553002544 + 52553002545.

It is an arithmetic number, because the mean of its divisors is an integer number (52553002545).

Almost surely, 2^105106005089 is an apocalyptic number.

It is an amenable number.

105106005089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106005089 is an equidigital number, since it uses as much as digits as its factorization.

105106005089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 35.

The spelling of 105106005089 in words is "one hundred five billion, one hundred six million, five thousand, eighty-nine".