105317218006 has 96 divisors (see below), whose sum is σ = 223860043008. Its totient is φ = 35882585280.

The previous prime is 105317217983. The next prime is 105317218021. The reversal of 105317218006 is 600812713501.

It is a happy number.

It is a super-2 number, since 2×105317218006² (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 47 ways as a sum of consecutive naturals, for example, 649861 + ... + 795583.

It is an arithmetic number, because the mean of its divisors is an integer number (2331875448).

Almost surely, 2^105317218006 is an apocalyptic number.

105317218006 is an abundant number, since it is smaller than the sum of its proper divisors (118542825002).

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

105317218006 is a wasteful number, since it uses less digits than its factorization.

105317218006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145794 (or 145775 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

It can be divided in two parts, 105317 and 218006, that added together give a palindrome (323323).

The spelling of 105317218006 in words is "one hundred five billion, three hundred seventeen million, two hundred eighteen thousand, six".