105055566560 has 96 divisors (see below), whose sum is σ = 284837575680. Its totient is φ = 35868252672.

The previous prime is 105055566541. The next prime is 105055566589. The reversal of 105055566560 is 65665550501.

It is a super-2 number, since 2×105055566560² (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 15 ways as a sum of consecutive naturals, for example, 71447 + ... + 463913.

It is an arithmetic number, because the mean of its divisors is an integer number (2967058080).

Almost surely, 2^105055566560 is an apocalyptic number.

105055566560 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 105055566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142418787840).

105055566560 is an abundant number, since it is smaller than the sum of its proper divisors (179782009120).

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

105055566560 is a wasteful number, since it uses less digits than its factorization.

105055566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392728 (or 392720 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 44.

The spelling of 105055566560 in words is "one hundred five billion, fifty-five million, five hundred sixty-six thousand, five hundred sixty".