100000193 has 2 divisors, whose sum is σ = 100000194. Its totient is φ = 100000192.

The previous prime is 100000127. The next prime is 100000213. The reversal of 100000193 is 391000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73136704 + 26863489 = 8552^2 + 5183^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000193 - 2¹² = 99996097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000096 + 50000097.

It is an arithmetic number, because the mean of its divisors is an integer number (50000097).

Almost surely, 2^100000193 is an apocalyptic number.

It is an amenable number.

100000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000193 is an equidigital number, since it uses as much as digits as its factorization.

100000193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 100000193 is about 10000.0096499953. The cubic root of 100000193 is about 464.1591819700.

Adding to 100000193 its reverse (391000001), we get a palindrome (491000194).

The spelling of 100000193 in words is "one hundred million, one hundred ninety-three", and thus it is an aban number.