105010216006 has 8 divisors (see below), whose sum is σ = 165805604280. Its totient is φ = 49741681248.

The previous prime is 105010215983. The next prime is 105010216007. The reversal of 105010216006 is 600612010501.

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

It is a super-2 number, since 2×105010216006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010216007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1381713331 + ... + 1381713406.

It is an arithmetic number, because the mean of its divisors is an integer number (20725700535).

Almost surely, 2^105010216006 is an apocalyptic number.

105010216006 is a deficient number, since it is larger than the sum of its proper divisors (60795388274).

105010216006 is a wasteful number, since it uses less digits than its factorization.

105010216006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763426758.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 105010216006 its reverse (600612010501), we get a palindrome (705622226507).

The spelling of 105010216006 in words is "one hundred five billion, ten million, two hundred sixteen thousand, six".