109993 has 4 divisors (see below), whose sum is σ = 118468. Its totient is φ = 101520.

The previous prime is 109987. The next prime is 110017. The reversal of 109993 is 399901.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 399901 = 23 ⋅17387.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 56169 = 232^2 + 237^2 .

It is a cyclic number.

It is not a de Polignac number, because 109993 - 2⁵ = 109961 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (109903) 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, 4218 + ... + 4243.

It is an arithmetic number, because the mean of its divisors is an integer number (29617).

2¹⁰⁹⁹⁹³ is an apocalyptic number.

109993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

109993 is a deficient number, since it is larger than the sum of its proper divisors (8475).

109993 is an equidigital number, since it uses as much as digits as its factorization.

109993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474.

The product of its (nonzero) digits is 2187, while the sum is 31.

The square root of 109993 is about 331.6519259706. The cubic root of 109993 is about 47.9131821873.

The spelling of 109993 in words is "one hundred nine thousand, nine hundred ninety-three".