101693 has 2 divisors, whose sum is σ = 101694. Its totient is φ = 101692.

The previous prime is 101681. The next prime is 101701. The reversal of 101693 is 396101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 24964 = 277^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 101693 - 2¹⁰ = 100669 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50846 + 50847.

It is an arithmetic number, because the mean of its divisors is an integer number (50847).

2¹⁰¹⁶⁹³ is an apocalyptic number.

It is an amenable number.

101693 is a deficient number, since it is larger than the sum of its proper divisors (1).

101693 is an equidigital number, since it uses as much as digits as its factorization.

101693 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 20.

The square root of 101693 is about 318.8933991164. The cubic root of 101693 is about 46.6763641978.

Adding to 101693 its reverse (396101), we get a palindrome (497794).

The spelling of 101693 in words is "one hundred one thousand, six hundred ninety-three".