102993 has 8 divisors (see below), whose sum is σ = 149856. Its totient is φ = 62400.

The previous prime is 102983. The next prime is 103001. The reversal of 102993 is 399201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102993 - 2⁶ = 102929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1528 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (18732).

2¹⁰²⁹⁹³ is an apocalyptic number.

It is an amenable number.

102993 is a deficient number, since it is larger than the sum of its proper divisors (46863).

102993 is a wasteful number, since it uses less digits than its factorization.

102993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 102993 is about 320.9252249357. The cubic root of 102993 is about 46.8744195484.

It can be divided in two parts, 10 and 2993, that added together give a palindrome (3003).

The spelling of 102993 in words is "one hundred two thousand, nine hundred ninety-three".