10505560100060 has 48 divisors (see below), whose sum is σ = 22072110004224. Its totient is φ = 4200237181248.

The previous prime is 10505560100047. The next prime is 10505560100069. The reversal of 10505560100060 is 6000106550501.

It is a super-2 number, since 2×10505560100060² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505560099996 and 10505560100032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505560100069) by changing a digit.

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, 445762397 + ... + 445785963.

It is an arithmetic number, because the mean of its divisors is an integer number (459835625088).

Almost surely, 2^{10505560100060} is an apocalyptic number.

10505560100060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505560100060 is an abundant number, since it is smaller than the sum of its proper divisors (11566549904164).

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

10505560100060 is a wasteful number, since it uses less digits than its factorization.

10505560100060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33170 (or 33168 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 10505560100060 its reverse (6000106550501), we get a palindrome (16505666650561).

The spelling of 10505560100060 in words is "ten trillion, five hundred five billion, five hundred sixty million, one hundred thousand, sixty".