10505506110 has 128 divisors (see below), whose sum is σ = 28116633600. Its totient is φ = 2490808320.

The previous prime is 10505506061. The next prime is 10505506111. The reversal of 10505506110 is 1160550501.

It is a super-2 number, since 2×10505506110² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505506111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2839782 + ... + 2843478.

It is an arithmetic number, because the mean of its divisors is an integer number (219661200).

Almost surely, 2^10505506110 is an apocalyptic number.

10505506110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505506110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14058316800).

10505506110 is an abundant number, since it is smaller than the sum of its proper divisors (17611127490).

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

10505506110 is a wasteful number, since it uses less digits than its factorization.

10505506110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906.

The product of its (nonzero) digits is 750, while the sum is 24.

It can be divided in two parts, 10505 and 506110, that added together give a palindrome (516615).

The spelling of 10505506110 in words is "ten billion, five hundred five million, five hundred six thousand, one hundred ten".