105550560601000 has 64 divisors (see below), whose sum is σ = 246993116881680. Its totient is φ = 42219402860800.

The previous prime is 105550560600917. The next prime is 105550560601039. The reversal of 105550560601000 is 106065055501.

It can be written as a sum of positive squares in 8 ways, for example, as 17724386281156 + 87826174319844 = 4210034^2 + 9371562^2 .

It is a super-2 number, since 2×105550560601000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51756654 + ... + 53757346.

Almost surely, 2^{105550560601000} is an apocalyptic number.

105550560601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105550560601000 is an abundant number, since it is smaller than the sum of its proper divisors (141442556280680).

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

105550560601000 is a wasteful number, since it uses less digits than its factorization.

105550560601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053471 (or 2053457 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 105550560601000 in words is "one hundred five trillion, five hundred fifty billion, five hundred sixty million, six hundred one thousand".