101993 has 4 divisors (see below), whose sum is σ = 105540. Its totient is φ = 98448.

The previous prime is 101987. The next prime is 101999. The reversal of 101993 is 399101.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (101987) and next prime (101999).

It can be written as a sum of positive squares in 2 ways, for example, as 80089 + 21904 = 283^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 101993 - 2⁴ = 101977 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1730 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (26385).

2¹⁰¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

101993 is a deficient number, since it is larger than the sum of its proper divisors (3547).

101993 is an equidigital number, since it uses as much as digits as its factorization.

101993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546.

The product of its (nonzero) digits is 243, while the sum is 23.

The square root of 101993 is about 319.3634293403. The cubic root of 101993 is about 46.7222184257.

The spelling of 101993 in words is "one hundred one thousand, nine hundred ninety-three".