105334320 has 360 divisors, whose sum is σ = 419075856. Its totient is φ = 21805056.

The previous prime is 105334297. The next prime is 105334321. The reversal of 105334320 is 23433501.

It is a super-2 number, since 2×105334320² = 22190637939724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (105334321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1987414 + ... + 1987466.

Almost surely, 2^105334320 is an apocalyptic number.

105334320 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 105334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209537928).

105334320 is an abundant number, since it is smaller than the sum of its proper divisors (313741536).

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

105334320 is a wasteful number, since it uses less digits than its factorization.

105334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

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

The square root of 105334320 is about 10263.2509469466. The cubic root of 105334320 is about 472.2695721430.

Adding to 105334320 its reverse (23433501), we get a palindrome (128767821).

The spelling of 105334320 in words is "one hundred five million, three hundred thirty-four thousand, three hundred twenty".