105006 has 32 divisors (see below), whose sum is σ = 240768. Its totient is φ = 30240.

The previous prime is 104999. The next prime is 105019. The reversal of 105006 is 600501.

It is a super-2 number, since 2×105006² = 22052520072, which contains 22 as substring.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 104982 and 105000.

It is a congruent number.

It is an unprimeable number.

105006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421 + ... + 2463.

It is an arithmetic number, because the mean of its divisors is an integer number (7524).

2¹⁰⁵⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120384).

105006 is an abundant number, since it is smaller than the sum of its proper divisors (135762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105006 is a wasteful number, since it uses less digits than its factorization.

105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105006 is about 324.0462929891. The cubic root of 105006 is about 47.1778383944.

Subtracting from 105006 its product of nonzero digits (30), we obtain a 4-th power (104976 = 18⁴).

Adding to 105006 its reverse (600501), we get a palindrome (705507).

The spelling of 105006 in words is "one hundred five thousand, six".