105005000560000 has 80 divisors (see below), whose sum is σ = 261403386280740. Its totient is φ = 42002000192000.

The previous prime is 105005000559971. The next prime is 105005000560049. The reversal of 105005000560000 is 65000500501.

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

It is a super-2 number, since 2×105005000560000² (a number of 29 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 (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 656201254 + ... + 656361253.

Almost surely, 2^{105005000560000} is an apocalyptic number.

105005000560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005000560000 is an abundant number, since it is smaller than the sum of its proper divisors (156398385720740).

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

105005000560000 is an frugal number, since it uses more digits than its factorization.

105005000560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312562541 (or 1312562514 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 105005000560000 in words is "one hundred five trillion, five billion, five hundred sixty thousand".