10505505105500 has 24 divisors (see below), whose sum is σ = 22944023151504. Its totient is φ = 4202202042000.

The previous prime is 10505505105499. The next prime is 10505505105521. The reversal of 10505505105500 is 550150550501.

It is a super-2 number, since 2×10505505105500² (a number of 27 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 7 ways as a sum of consecutive naturals, for example, 10505504606 + ... + 10505505605.

It is an arithmetic number, because the mean of its divisors is an integer number (956000964646).

Almost surely, 2^{10505505105500} is an apocalyptic number.

10505505105500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505505105500 is an abundant number, since it is smaller than the sum of its proper divisors (12438518046004).

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

10505505105500 is a wasteful number, since it uses less digits than its factorization.

10505505105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21011010230 (or 21011010218 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 10505505105500 in words is "ten trillion, five hundred five billion, five hundred five million, one hundred five thousand, five hundred".