105311334506664 has 512 divisors, whose sum is σ = 323384902848000. Its totient is φ = 28138973184000.

The previous prime is 105311334506579. The next prime is 105311334506743. The reversal of 105311334506664 is 466605433113501.

It is a super-2 number, since 2×105311334506664² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16777332294 + ... + 16777338570.

It is an arithmetic number, because the mean of its divisors is an integer number (631611138375).

Almost surely, 2^{105311334506664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105311334506664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161692451424000).

105311334506664 is an abundant number, since it is smaller than the sum of its proper divisors (218073568341336).

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

105311334506664 is a wasteful number, since it uses less digits than its factorization.

105311334506664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 105311334506664 in words is "one hundred five trillion, three hundred eleven billion, three hundred thirty-four million, five hundred six thousand, six hundred sixty-four".