105605600560 has 80 divisors (see below), whose sum is σ = 247723716096. Its totient is φ = 41866792704.

The previous prime is 105605600501. The next prime is 105605600561. The reversal of 105605600560 is 65006506501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×105605600560³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105605600561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4774647 + ... + 4796713.

Almost surely, 2^105605600560 is an apocalyptic number.

105605600560 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 105605600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123861858048).

105605600560 is an abundant number, since it is smaller than the sum of its proper divisors (142118115536).

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

105605600560 is a wasteful number, since it uses less digits than its factorization.

105605600560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22610 (or 22604 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 105605600560 in words is "one hundred five billion, six hundred five million, six hundred thousand, five hundred sixty".