105605010560 has 128 divisors (see below), whose sum is σ = 288930585600. Its totient is φ = 36156911616.

The previous prime is 105605010559. The next prime is 105605010571. The reversal of 105605010560 is 65010506501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105605010560² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3267761 + ... + 3299919.

It is an arithmetic number, because the mean of its divisors is an integer number (2257270200).

Almost surely, 2^105605010560 is an apocalyptic number.

105605010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105605010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144465292800).

105605010560 is an abundant number, since it is smaller than the sum of its proper divisors (183325575040).

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

105605010560 is an equidigital number, since it uses as much as digits as its factorization.

105605010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32918 (or 32906 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105605010560 in words is "one hundred five billion, six hundred five million, ten thousand, five hundred sixty".