105556000560 has 160 divisors (see below), whose sum is σ = 336686611392. Its totient is φ = 27337052160.

The previous prime is 105556000553. The next prime is 105556000577. The reversal of 105556000560 is 65000655501.

It is a super-2 number, since 2×105556000560² (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4935490 + ... + 4956830.

Almost surely, 2^105556000560 is an apocalyptic number.

105556000560 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 105556000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168343305696).

105556000560 is an abundant number, since it is smaller than the sum of its proper divisors (231130610832).

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

105556000560 is a wasteful number, since it uses less digits than its factorization.

105556000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21951 (or 21945 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 105556000560 in words is "one hundred five billion, five hundred fifty-six million, five hundred sixty", and thus it is an aban number.