10524142200 has 384 divisors, whose sum is σ = 40002439680. Its totient is φ = 2252236800.

The previous prime is 10524142159. The next prime is 10524142207. The reversal of 10524142200 is 224142501.

10524142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10524142200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10524142207) 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, 1970734 + ... + 1976066.

It is an arithmetic number, because the mean of its divisors is an integer number (104173020).

Almost surely, 2^10524142200 is an apocalyptic number.

10524142200 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 10524142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001219840).

10524142200 is an abundant number, since it is smaller than the sum of its proper divisors (29478297480).

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

10524142200 is a wasteful number, since it uses less digits than its factorization.

10524142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10524142200 its reverse (224142501), we get a palindrome (10748284701).

The spelling of 10524142200 in words is "ten billion, five hundred twenty-four million, one hundred forty-two thousand, two hundred".