105005100105560 has 16 divisors (see below), whose sum is σ = 236261475237600. Its totient is φ = 42002040042208.

The previous prime is 105005100105557. The next prime is 105005100105611. The reversal of 105005100105560 is 65501001500501.

It is a happy number.

It is a super-2 number, since 2×105005100105560² (a number of 29 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 3 ways as a sum of consecutive naturals, for example, 1312563751280 + ... + 1312563751359.

It is an arithmetic number, because the mean of its divisors is an integer number (14766342202350).

Almost surely, 2^{105005100105560} is an apocalyptic number.

105005100105560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005100105560 is an abundant number, since it is smaller than the sum of its proper divisors (131256375132040).

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

105005100105560 is a wasteful number, since it uses less digits than its factorization.

105005100105560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625127502650 (or 2625127502646 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105005100105560 in words is "one hundred five trillion, five billion, one hundred million, one hundred five thousand, five hundred sixty".