105317332660 has 24 divisors (see below), whose sum is σ = 221333877576. Its totient is φ = 42095032320.

The previous prime is 105317332597. The next prime is 105317332691. The reversal of 105317332660 is 66233713501.

It can be written as a sum of positive squares in 4 ways, for example, as 27010265104 + 78307067556 = 164348^2 + 279834^2 .

It is a super-2 number, since 2×105317332660² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966717 + ... + 2019556.

It is an arithmetic number, because the mean of its divisors is an integer number (9222244899).

Almost surely, 2^105317332660 is an apocalyptic number.

105317332660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105317332660 is an abundant number, since it is smaller than the sum of its proper divisors (116016544916).

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

105317332660 is a wasteful number, since it uses less digits than its factorization.

105317332660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987603 (or 3987601 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 105317332660 in words is "one hundred five billion, three hundred seventeen million, three hundred thirty-two thousand, six hundred sixty".