105001005561006 has 8 divisors (see below), whose sum is σ = 210002011122024. Its totient is φ = 35000335187000.

The previous prime is 105001005560881. The next prime is 105001005561017. The reversal of 105001005561006 is 600165500100501.

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

105001005561006 is an admirable number.

It is a super-2 number, since 2×105001005561006² (a number of 29 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 3 ways as a sum of consecutive naturals, for example, 8750083796745 + ... + 8750083796756.

It is an arithmetic number, because the mean of its divisors is an integer number (26250251390253).

Almost surely, 2^{105001005561006} is an apocalyptic number.

105001005561006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105001005561006 is a wasteful number, since it uses less digits than its factorization.

105001005561006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500167593506.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 105001005561006 its reverse (600165500100501), we get a palindrome (705166505661507).

The spelling of 105001005561006 in words is "one hundred five trillion, one billion, five million, five hundred sixty-one thousand, six".