105509331684 has 81 divisors (see below), whose sum is σ = 273267859683. Its totient is φ = 34324590384.

The previous prime is 105509331679. The next prime is 105509331691. The reversal of 105509331684 is 486133905501.

The square root of 105509331684 is 324822.

It is a perfect power (a square), and thus also a powerful number.

105509331684 is a `hidden beast` number, since 1 + 0 + 550 + 9 + 3 + 3 + 16 + 84 = 666.

It is a super-2 number, since 2×105509331684² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83803447 + ... + 83804705.

Almost surely, 2^105509331684 is an apocalyptic number.

105509331684 is the 324822-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105509331684

105509331684 is an abundant number, since it is smaller than the sum of its proper divisors (167758527999).

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

105509331684 is an equidigital number, since it uses as much as digits as its factorization.

105509331684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 105509331684 in words is "one hundred five billion, five hundred nine million, three hundred thirty-one thousand, six hundred eighty-four".