100093793 has 2 divisors, whose sum is σ = 100093794. Its totient is φ = 100093792.

The previous prime is 100093789. The next prime is 100093811. The reversal of 100093793 is 397390001.

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., 93161104 + 6932689 = 9652^2 + 2633^2 .

It is an emirp because it is prime and its reverse (397390001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100093793 - 2² = 100093789 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100093783) 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, 50046896 + 50046897.

It is an arithmetic number, because the mean of its divisors is an integer number (50046897).

Almost surely, 2^100093793 is an apocalyptic number.

It is an amenable number.

100093793 is a deficient number, since it is larger than the sum of its proper divisors (1).

100093793 is an equidigital number, since it uses as much as digits as its factorization.

100093793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 32.

The square root of 100093793 is about 10004.6885508745. The cubic root of 100093793 is about 464.3039541958.

The spelling of 100093793 in words is "one hundred million, ninety-three thousand, seven hundred ninety-three".