10505601011105 has 16 divisors (see below), whose sum is σ = 13418179421184. Its totient is φ = 7868685438720.

The previous prime is 10505601011093. The next prime is 10505601011117. The reversal of 10505601011105 is 50111010650501.

It is an interprime number because it is at equal distance from previous prime (10505601011093) and next prime (10505601011117).

It is not a de Polignac number, because 10505601011105 - 2¹² = 10505601007009 is a prime.

It is a super-2 number, since 2×10505601011105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323531687 + ... + 323564156.

It is an arithmetic number, because the mean of its divisors is an integer number (838636213824).

Almost surely, 2^{10505601011105} is an apocalyptic number.

It is an amenable number.

10505601011105 is a deficient number, since it is larger than the sum of its proper divisors (2912578410079).

10505601011105 is a wasteful number, since it uses less digits than its factorization.

10505601011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647096056.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10505601011105 its reverse (50111010650501), we get a palindrome (60616611661606).

The spelling of 10505601011105 in words is "ten trillion, five hundred five billion, six hundred one million, eleven thousand, one hundred five".