105609529472 has 64 divisors (see below), whose sum is σ = 221565991200. Its totient is φ = 50003288064.

The previous prime is 105609529423. The next prime is 105609529481. The reversal of 105609529472 is 274925906501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×105609529472³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105609529472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6297803 + ... + 6314549.

Almost surely, 2^105609529472 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 105609529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110782995600).

105609529472 is an abundant number, since it is smaller than the sum of its proper divisors (115956461728).

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

105609529472 is a wasteful number, since it uses less digits than its factorization.

105609529472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19373 (or 19361 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 50.

The spelling of 105609529472 in words is "one hundred five billion, six hundred nine million, five hundred twenty-nine thousand, four hundred seventy-two".