105106050006 has 32 divisors (see below), whose sum is σ = 213802973280. Its totient is φ = 34441423104.

The previous prime is 105106049999. The next prime is 105106050017. The reversal of 105106050006 is 600050601501.

It is a super-2 number, since 2×105106050006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476485 + ... + 661248.

It is an arithmetic number, because the mean of its divisors is an integer number (6681342915).

Almost surely, 2^105106050006 is an apocalyptic number.

105106050006 is an abundant number, since it is smaller than the sum of its proper divisors (108696923274).

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

105106050006 is a wasteful number, since it uses less digits than its factorization.

105106050006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138000.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105106050006 its reverse (600050601501), we get a palindrome (705156651507).

The spelling of 105106050006 in words is "one hundred five billion, one hundred six million, fifty thousand, six".