105330043300 has 144 divisors (see below), whose sum is σ = 253821254400. Its totient is φ = 37736202240.

The previous prime is 105330043279. The next prime is 105330043303. The reversal of 105330043300 is 3340033501.

It is a super-4 number, since 4×105330043300⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105330043303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7774132 + ... + 7787668.

It is an arithmetic number, because the mean of its divisors is an integer number (1762647600).

Almost surely, 2^105330043300 is an apocalyptic number.

105330043300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105330043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126910627200).

105330043300 is an abundant number, since it is smaller than the sum of its proper divisors (148491211100).

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

105330043300 is a wasteful number, since it uses less digits than its factorization.

105330043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790 (or 13783 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

Adding to 105330043300 its reverse (3340033501), we get a palindrome (108670076801).

The spelling of 105330043300 in words is "one hundred five billion, three hundred thirty million, forty-three thousand, three hundred".