105056000060 has 48 divisors (see below), whose sum is σ = 240720076800. Its totient is φ = 38194827840.

The previous prime is 105056000057. The next prime is 105056000111. The reversal of 105056000060 is 60000650501.

It is a super-2 number, since 2×105056000060² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172741 + ... + 1259139.

It is an arithmetic number, because the mean of its divisors is an integer number (5015001600).

Almost surely, 2^105056000060 is an apocalyptic number.

105056000060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105056000060 is an abundant number, since it is smaller than the sum of its proper divisors (135664076740).

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

105056000060 is a wasteful number, since it uses less digits than its factorization.

105056000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91946 (or 91944 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 105056000060 its reverse (60000650501), we get a palindrome (165056650561).

The spelling of 105056000060 in words is "one hundred five billion, fifty-six million, sixty", and thus it is an aban number.