101005 has 4 divisors (see below), whose sum is σ = 121212. Its totient is φ = 80800.

The previous prime is 100999. The next prime is 101009. The reversal of 101005 is 500101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 500101 = 7 ⋅71443.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 90601 = 102^2 + 301^2 .

It is not a de Polignac number, because 101005 - 2⁹ = 100493 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 (101009) 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, 10096 + ... + 10105.

It is an arithmetic number, because the mean of its divisors is an integer number (30303).

2¹⁰¹⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

101005 is a deficient number, since it is larger than the sum of its proper divisors (20207).

101005 is an equidigital number, since it uses as much as digits as its factorization.

101005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20206.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 101005 is about 317.8128380038. The cubic root of 101005 is about 46.5708635488.

Adding to 101005 its reverse (500101), we get a palindrome (601106).

The spelling of 101005 in words is "one hundred one thousand, five".