105003324000 has 768 divisors, whose sum is σ = 400542105600. Its totient is φ = 26687232000.

The previous prime is 105003323959. The next prime is 105003324001. The reversal of 105003324000 is 423300501.

It is a super-2 number, since 2×105003324000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105003324001) 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 127 ways as a sum of consecutive naturals, for example, 264491802 + ... + 264492198.

It is an arithmetic number, because the mean of its divisors is an integer number (521539200).

Almost surely, 2^105003324000 is an apocalyptic number.

105003324000 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 105003324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200271052800).

105003324000 is an abundant number, since it is smaller than the sum of its proper divisors (295538781600).

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

105003324000 is a wasteful number, since it uses less digits than its factorization.

105003324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 105003324000 its reverse (423300501), we get a palindrome (105426624501).

The spelling of 105003324000 in words is "one hundred five billion, three million, three hundred twenty-four thousand".