10505500101105 has 32 divisors (see below), whose sum is σ = 17289529242624. Its totient is φ = 5443154171136.

The previous prime is 10505500101079. The next prime is 10505500101233. The reversal of 10505500101105 is 50110100550501.

It is not a de Polignac number, because 10505500101105 - 2¹¹ = 10505500099057 is a prime.

It is a super-2 number, since 2×10505500101105² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14131329 + ... + 14856158.

It is an arithmetic number, because the mean of its divisors is an integer number (540297788832).

Almost surely, 2^{10505500101105} is an apocalyptic number.

10505500101105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10505500101105 is a deficient number, since it is larger than the sum of its proper divisors (6784029141519).

10505500101105 is a wasteful number, since it uses less digits than its factorization.

10505500101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28988185.

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 10505500101105 its reverse (50110100550501), we get a palindrome (60615600651606).

The spelling of 10505500101105 in words is "ten trillion, five hundred five billion, five hundred million, one hundred one thousand, one hundred five".