100005 has 16 divisors (see below), whose sum is σ = 164160. Its totient is φ = 51968.

The previous prime is 100003. The next prime is 100019. The reversal of 100005 is 500001.

It is a cyclic number.

It is not a de Polignac number, because 100005 - 2¹ = 100003 is a prime.

100005 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 99966 and 100002.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2¹⁰⁰⁰⁰⁵ is an apocalyptic number.

100005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100005 is a deficient number, since it is larger than the sum of its proper divisors (64155).

100005 is a wasteful number, since it uses less digits than its factorization.

100005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 100005 is about 316.2356716122. The cubic root of 100005 is about 46.4166619214.

Adding to 100005 its reverse (500001), we get a palindrome (600006).

The spelling of 100005 in words is "one hundred thousand, five".