105001010100006 has 32 divisors (see below), whose sum is σ = 215704305669888. Its totient is φ = 34050188728800.

The previous prime is 105001010099917. The next prime is 105001010100023. The reversal of 105001010100006 is 600001010100501.

It is a super-3 number, since 3×105001010100006³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27310170 + ... + 30916781.

It is an arithmetic number, because the mean of its divisors is an integer number (6740759552184).

Almost surely, 2^{105001010100006} is an apocalyptic number.

105001010100006 is an abundant number, since it is smaller than the sum of its proper divisors (110703295569882).

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

105001010100006 is a wasteful number, since it uses less digits than its factorization.

105001010100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58235116.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 105001010100006 its reverse (600001010100501), we get a palindrome (705002020200507).

The spelling of 105001010100006 in words is "one hundred five trillion, one billion, ten million, one hundred thousand, six".