100193 has 2 divisors, whose sum is σ = 100194. Its totient is φ = 100192.

The previous prime is 100189. The next prime is 100207. The reversal of 100193 is 391001.

It is an a-pointer prime, because the next prime (100207) can be obtained adding 100193 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 5329 = 308^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 100193 - 2² = 100189 is a prime.

It is not a weakly prime, because it can be changed into another prime (100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50096 + 50097.

It is an arithmetic number, because the mean of its divisors is an integer number (50097).

2¹⁰⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100193 is an equidigital number, since it uses as much as digits as its factorization.

100193 is an evil number, because the sum of its binary digits is even.

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

The square root of 100193 is about 316.5327787134. The cubic root of 100193 is about 46.4457300344.

Adding to 100193 its reverse (391001), we get a palindrome (491194).

The spelling of 100193 in words is "one hundred thousand, one hundred ninety-three".