105005056060 has 24 divisors (see below), whose sum is σ = 230098036896. Its totient is φ = 40175847360.

The previous prime is 105005056049. The next prime is 105005056133. The reversal of 105005056060 is 60650500501.

It is a super-2 number, since 2×105005056060² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114135471 + ... + 114136390.

It is an arithmetic number, because the mean of its divisors is an integer number (9587418204).

Almost surely, 2^105005056060 is an apocalyptic number.

105005056060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005056060 is an abundant number, since it is smaller than the sum of its proper divisors (125092980836).

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

105005056060 is a wasteful number, since it uses less digits than its factorization.

105005056060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228271893 (or 228271891 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 105005056060 its reverse (60650500501), we get a palindrome (165655556561).

The spelling of 105005056060 in words is "one hundred five billion, five million, fifty-six thousand, sixty".