100093 has 8 divisors (see below), whose sum is σ = 116480. Its totient is φ = 84240.

The previous prime is 100069. The next prime is 100103. The reversal of 100093 is 390001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100093 - 2⁹ = 99581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2¹⁰⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

100093 is a deficient number, since it is larger than the sum of its proper divisors (16387).

100093 is an equidigital number, since it uses as much as digits as its factorization.

100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 100093 is about 316.3747777557. The cubic root of 100093 is about 46.4302728032.

Adding to 100093 its reverse (390001), we get a palindrome (490094).

The spelling of 100093 in words is "one hundred thousand, ninety-three".