105530253320 has 64 divisors (see below), whose sum is σ = 259520371200. Its totient is φ = 38447447040.

The previous prime is 105530253317. The next prime is 105530253331. The reversal of 105530253320 is 23352035501.

105530253320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105530253320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2482010 + ... + 2524169.

It is an arithmetic number, because the mean of its divisors is an integer number (4055005800).

Almost surely, 2^105530253320 is an apocalyptic number.

105530253320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105530253320 is an abundant number, since it is smaller than the sum of its proper divisors (153990117880).

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

105530253320 is a wasteful number, since it uses less digits than its factorization.

105530253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006238 (or 5006234 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

Adding to 105530253320 its reverse (23352035501), we get a palindrome (128882288821).

The spelling of 105530253320 in words is "one hundred five billion, five hundred thirty million, two hundred fifty-three thousand, three hundred twenty".