10198958193 has 12 divisors (see below), whose sum is σ = 14744192580. Its totient is φ = 6793598976.

The previous prime is 10198958179. The next prime is 10198958251. The reversal of 10198958193 is 39185989101.

It can be written as a sum of positive squares in 2 ways, for example, as 3171153969 + 7027804224 = 56313^2 + 83832^2 .

It is not a de Polignac number, because 10198958193 - 2¹⁶ = 10198892657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10198958113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464208 + ... + 485681.

It is an arithmetic number, because the mean of its divisors is an integer number (1228682715).

Almost surely, 2^10198958193 is an apocalyptic number.

It is an amenable number.

10198958193 is a deficient number, since it is larger than the sum of its proper divisors (4545234387).

10198958193 is a wasteful number, since it uses less digits than its factorization.

10198958193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951088 (or 951085 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 54.

The spelling of 10198958193 in words is "ten billion, one hundred ninety-eight million, nine hundred fifty-eight thousand, one hundred ninety-three".