105321852000 has 576 divisors, whose sum is σ = 391877740800. Its totient is φ = 26753126400.

The previous prime is 105321851989. The next prime is 105321852001. The reversal of 105321852000 is 258123501.

It is a happy number.

105321852000 is a `hidden beast` number, since 105 + 32 + 1 + 8 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×105321852000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105321852001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82475362 + ... + 82476638.

It is an arithmetic number, because the mean of its divisors is an integer number (680343300).

Almost surely, 2^105321852000 is an apocalyptic number.

105321852000 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 105321852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195938870400).

105321852000 is an abundant number, since it is smaller than the sum of its proper divisors (286555888800).

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

105321852000 is a wasteful number, since it uses less digits than its factorization.

105321852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1395 counting only the distinct ones).

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

Adding to 105321852000 its reverse (258123501), we get a palindrome (105579975501).

The spelling of 105321852000 in words is "one hundred five billion, three hundred twenty-one million, eight hundred fifty-two thousand".