105820325130 has 48 divisors (see below), whose sum is σ = 275007627360. Its totient is φ = 26048078784.

The previous prime is 105820325129. The next prime is 105820325161. The reversal of 105820325130 is 31523028501.

It is a super-2 number, since 2×105820325130² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 10430860 + ... + 10440999.

It is an arithmetic number, because the mean of its divisors is an integer number (5729325570).

Almost surely, 2^105820325130 is an apocalyptic number.

105820325130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105820325130 is an abundant number, since it is smaller than the sum of its proper divisors (169187302230).

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

105820325130 is a wasteful number, since it uses less digits than its factorization.

105820325130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20871895 (or 20871882 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 105820325130 in words is "one hundred five billion, eight hundred twenty million, three hundred twenty-five thousand, one hundred thirty".