105006005 has 8 divisors (see below), whose sum is σ = 135700152. Its totient is φ = 77542848.

The previous prime is 105006001. The next prime is 105006007. The reversal of 105006005 is 500600501.

It can be written as a sum of positive squares in 4 ways, for example, as 25421764 + 79584241 = 5042^2 + 8921^2 .

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 105006005 - 2² = 105006001 is a prime.

It is a super-2 number, since 2×105006005² = 22052522172120050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006001) 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, 807674 + ... + 807803.

It is an arithmetic number, because the mean of its divisors is an integer number (16962519).

Almost surely, 2^105006005 is an apocalyptic number.

It is an amenable number.

105006005 is a deficient number, since it is larger than the sum of its proper divisors (30694147).

105006005 is a wasteful number, since it uses less digits than its factorization.

105006005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615495.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105006005 is about 10247.2437757672. The cubic root of 105006005 is about 471.7783914324.

Adding to 105006005 its reverse (500600501), we get a palindrome (605606506).

The spelling of 105006005 in words is "one hundred five million, six thousand, five".