105105060561000 has 64 divisors (see below), whose sum is σ = 327927788959680. Its totient is φ = 28028016148800.

The previous prime is 105105060560999. The next prime is 105105060561037. The reversal of 105105060561000 is 165060501501.

105105060561000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105105060561000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17517507094 + ... + 17517513093.

It is an arithmetic number, because the mean of its divisors is an integer number (5123871702495).

Almost surely, 2^{105105060561000} is an apocalyptic number.

105105060561000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105060561000 is an abundant number, since it is smaller than the sum of its proper divisors (222822728398680).

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

105105060561000 is a wasteful number, since it uses less digits than its factorization.

105105060561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35035020211 (or 35035020197 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105105060561000 in words is "one hundred five trillion, one hundred five billion, sixty million, five hundred sixty-one thousand".