10500324000 has 96 divisors (see below), whose sum is σ = 34399100736. Its totient is φ = 2800083200.

The previous prime is 10500323963. The next prime is 10500324007. The reversal of 10500324000 is 42300501.

10500324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10500324000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10500324007) 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 15 ways as a sum of consecutive naturals, for example, 425514 + ... + 449513.

It is an arithmetic number, because the mean of its divisors is an integer number (358323966).

Almost surely, 2^10500324000 is an apocalyptic number.

10500324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500324000 is an abundant number, since it is smaller than the sum of its proper divisors (23898776736).

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

10500324000 is an equidigital number, since it uses as much as digits as its factorization.

10500324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875055 (or 875037 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10500324000 its reverse (42300501), we get a palindrome (10542624501).

The spelling of 10500324000 in words is "ten billion, five hundred million, three hundred twenty-four thousand".