105001 has 8 divisors (see below), whose sum is σ = 116424. Its totient is φ = 94080.

The previous prime is 104999. The next prime is 105019. The reversal of 105001 is 100501.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 99225 = 76^2 + 315^2 .

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

It is a 3-Lehmer number, since φ(105001) divides (105001-1)³.

It is a cyclic number.

It is not a de Polignac number, because 105001 - 2¹ = 104999 is a prime.

It is a super-2 number, since 2×105001² = 22050420002, which contains 22 as substring.

It is a Duffinian number.

105001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (105031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2¹⁰⁵⁰⁰¹ is an apocalyptic number.

It is an amenable number.

105001 is a deficient number, since it is larger than the sum of its proper divisors (11423).

105001 is a wasteful number, since it uses less digits than its factorization.

105001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

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

The square root of 105001 is about 324.0385779502. The cubic root of 105001 is about 47.1770895708.

Adding to 105001 its reverse (100501), we get a palindrome (205502).

It can be divided in two parts, 10500 and 1, that added together give a palindrome (10501).

The spelling of 105001 in words is "one hundred five thousand, one".