10505114011 has 16 divisors (see below), whose sum is σ = 13007706624. Its totient is φ = 8277623424.

The previous prime is 10505113999. The next prime is 10505114017. The reversal of 10505114011 is 11041150501.

10505114011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10505114011 - 2⁵ = 10505113979 is a prime.

It is a super-2 number, since 2×10505114011² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10505114011.

It is not an unprimeable number, because it can be changed into a prime (10505114017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1021375 + ... + 1031608.

It is an arithmetic number, because the mean of its divisors is an integer number (812981664).

Almost surely, 2^10505114011 is an apocalyptic number.

10505114011 is a deficient number, since it is larger than the sum of its proper divisors (2502592613).

10505114011 is a wasteful number, since it uses less digits than its factorization.

10505114011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053050.

The product of its (nonzero) digits is 100, while the sum is 19.

Adding to 10505114011 its reverse (11041150501), we get a palindrome (21546264512).

The spelling of 10505114011 in words is "ten billion, five hundred five million, one hundred fourteen thousand, eleven".