100693 has 2 divisors, whose sum is σ = 100694. Its totient is φ = 100692.

The previous prime is 100673. The next prime is 100699. The reversal of 100693 is 396001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77284 + 23409 = 278^2 + 153^2 .

It is an emirp because it is prime and its reverse (396001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50346 + 50347.

It is an arithmetic number, because the mean of its divisors is an integer number (50347).

2¹⁰⁰⁶⁹³ is an apocalyptic number.

It is an amenable number.

100693 is a deficient number, since it is larger than the sum of its proper divisors (1).

100693 is an equidigital number, since it uses as much as digits as its factorization.

100693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 100693 is about 317.3216034247. The cubic root of 100693 is about 46.5228623075.

Adding to 100693 its reverse (396001), we get a palindrome (496694).

The spelling of 100693 in words is "one hundred thousand, six hundred ninety-three".