10505605230 has 80 divisors (see below), whose sum is σ = 28308424320. Its totient is φ = 2795542848.

The previous prime is 10505605213. The next prime is 10505605237. The reversal of 10505605230 is 3250650501.

10505605230 is a `hidden beast` number, since 1 + 0 + 50 + 5 + 605 + 2 + 3 + 0 = 666.

10505605230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505605230² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10505605194 and 10505605203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505605237) 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 39 ways as a sum of consecutive naturals, for example, 374452 + ... + 401528.

It is an arithmetic number, because the mean of its divisors is an integer number (353855304).

Almost surely, 2^10505605230 is an apocalyptic number.

10505605230 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 10505605230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154212160).

10505605230 is an abundant number, since it is smaller than the sum of its proper divisors (17802819090).

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

10505605230 is a wasteful number, since it uses less digits than its factorization.

10505605230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27575 (or 27566 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10505605230 in words is "ten billion, five hundred five million, six hundred five thousand, two hundred thirty".