105343320 has 64 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 27613568.

The previous prime is 105343291. The next prime is 105343321. The reversal of 105343320 is 23343501.

It is a super-2 number, since 2×105343320² = 22194430137244800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343321) 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 15 ways as a sum of consecutive naturals, for example, 360 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^105343320 is an apocalyptic number.

105343320 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 105343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

105343320 is an abundant number, since it is smaller than the sum of its proper divisors (216064680).

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

105343320 is a wasteful number, since it uses less digits than its factorization.

105343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952 (or 14948 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 105343320 is about 10263.6893951444. The cubic root of 105343320 is about 472.2830223496.

Adding to 105343320 its reverse (23343501), we get a palindrome (128686821).

The spelling of 105343320 in words is "one hundred five million, three hundred forty-three thousand, three hundred twenty".