106001 has 8 divisors (see below), whose sum is σ = 127680. Its totient is φ = 85968.

The previous prime is 105997. The next prime is 106013. The reversal of 106001 is 100601.

106001 is nontrivially palindromic in base 12.

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 106001 - 2² = 105997 is a prime.

It is a super-2 number, since 2×106001² = 22472424002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106001.

It is not an unprimeable number, because it can be changed into a prime (106031) 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, 266 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹⁰⁶⁰⁰¹ is an apocalyptic number.

106001 is the 266-th pentagonal number.

It is an amenable number.

106001 is a deficient number, since it is larger than the sum of its proper divisors (21679).

106001 is an equidigital number, since it uses as much as digits as its factorization.

106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 106001 is about 325.5779476562. The cubic root of 106001 is about 47.3263837358.

Adding to 106001 its reverse (100601), we get a palindrome (206602).

It can be divided in two parts, 10600 and 1, that added together give a palindrome (10601).

The spelling of 106001 in words is "one hundred six thousand, one".