100116293 has 2 divisors, whose sum is σ = 100116294. Its totient is φ = 100116292.

The previous prime is 100116287. The next prime is 100116337. The reversal of 100116293 is 392611001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99161764 + 954529 = 9958^2 + 977^2 .

It is a cyclic number.

It is not a de Polignac number, because 100116293 - 2¹⁰ = 100115269 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100116223) 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, 50058146 + 50058147.

It is an arithmetic number, because the mean of its divisors is an integer number (50058147).

Almost surely, 2^100116293 is an apocalyptic number.

It is an amenable number.

100116293 is a deficient number, since it is larger than the sum of its proper divisors (1).

100116293 is an equidigital number, since it uses as much as digits as its factorization.

100116293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 100116293 is about 10005.8129604745. The cubic root of 100116293 is about 464.3387417551.

Adding to 100116293 its reverse (392611001), we get a palindrome (492727294).

The spelling of 100116293 in words is "one hundred million, one hundred sixteen thousand, two hundred ninety-three".