100319993 has 2 divisors, whose sum is σ = 100319994. Its totient is φ = 100319992.

The previous prime is 100319963. The next prime is 100320007. The reversal of 100319993 is 399913001.

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., 93180409 + 7139584 = 9653^2 + 2672^2 .

It is a cyclic number.

It is not a de Polignac number, because 100319993 - 2¹⁰ = 100318969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100319953) 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, 50159996 + 50159997.

It is an arithmetic number, because the mean of its divisors is an integer number (50159997).

Almost surely, 2^100319993 is an apocalyptic number.

It is an amenable number.

100319993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100319993 is an equidigital number, since it uses as much as digits as its factorization.

100319993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 35.

The square root of 100319993 is about 10015.9868709978. The cubic root of 100319993 is about 464.6534481901.

The spelling of 100319993 in words is "one hundred million, three hundred nineteen thousand, nine hundred ninety-three".