105430330500 has 96 divisors (see below), whose sum is σ = 334923458688. Its totient is φ = 25558864000.

The previous prime is 105430330477. The next prime is 105430330501. The reversal of 105430330500 is 5033034501.

It is a happy number.

It is a super-2 number, since 2×105430330500² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105430330501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3178359 + ... + 3211358.

It is an arithmetic number, because the mean of its divisors is an integer number (3488786028).

Almost surely, 2^105430330500 is an apocalyptic number.

105430330500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105430330500 is an abundant number, since it is smaller than the sum of its proper divisors (229493128188).

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

105430330500 is a wasteful number, since it uses less digits than its factorization.

105430330500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389750 (or 6389738 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The spelling of 105430330500 in words is "one hundred five billion, four hundred thirty million, three hundred thirty thousand, five hundred".