100116193 has 2 divisors, whose sum is σ = 100116194. Its totient is φ = 100116192.

The previous prime is 100116161. The next prime is 100116199. The reversal of 100116193 is 391611001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94245264 + 5870929 = 9708^2 + 2423^2 .

It is a cyclic number.

It is not a de Polignac number, because 100116193 - 2⁵ = 100116161 is a prime.

It is not a weakly prime, because it can be changed into another prime (100116199) 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, 50058096 + 50058097.

It is an arithmetic number, because the mean of its divisors is an integer number (50058097).

Almost surely, 2^100116193 is an apocalyptic number.

It is an amenable number.

100116193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100116193 is an equidigital number, since it uses as much as digits as its factorization.

100116193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 100116193 is about 10005.8079633781. The cubic root of 100116193 is about 464.3385871553.

Adding to 100116193 its reverse (391611001), we get a palindrome (491727194).

The spelling of 100116193 in words is "one hundred million, one hundred sixteen thousand, one hundred ninety-three".