105821352 has 192 divisors, whose sum is σ = 364815360. Its totient is φ = 26956800.

The previous prime is 105821351. The next prime is 105821363. The reversal of 105821352 is 253128501.

It is a happy number.

105821352 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×105821352² = 22396317078215808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105821351) 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 47 ways as a sum of consecutive naturals, for example, 202852 + ... + 203372.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 2^105821352 is an apocalyptic number.

105821352 is a gapful number since it is divisible by the number (12) 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 105821352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407680).

105821352 is an abundant number, since it is smaller than the sum of its proper divisors (258994008).

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

105821352 is a wasteful number, since it uses less digits than its factorization.

105821352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105821352 is about 10286.9505685602. The cubic root of 105821352 is about 472.9963273735.

Adding to 105821352 its reverse (253128501), we get a palindrome (358949853).

The spelling of 105821352 in words is "one hundred five million, eight hundred twenty-one thousand, three hundred fifty-two".