105193898009 has 2 divisors, whose sum is σ = 105193898010. Its totient is φ = 105193898008.

The previous prime is 105193897969. The next prime is 105193898023. The reversal of 105193898009 is 900898391501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104998681225 + 195216784 = 324035^2 + 13972^2 .

It is a cyclic number.

It is not a de Polignac number, because 105193898009 - 2¹² = 105193893913 is a prime.

It is a super-2 number, since 2×105193898009² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105193898309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52596949004 + 52596949005.

It is an arithmetic number, because the mean of its divisors is an integer number (52596949005).

Almost surely, 2^105193898009 is an apocalyptic number.

It is an amenable number.

105193898009 is a deficient number, since it is larger than the sum of its proper divisors (1).

105193898009 is an equidigital number, since it uses as much as digits as its factorization.

105193898009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 699840, while the sum is 53.

The spelling of 105193898009 in words is "one hundred five billion, one hundred ninety-three million, eight hundred ninety-eight thousand, nine".