10242404200 has 96 divisors (see below), whose sum is σ = 27345303360. Its totient is φ = 3494937600.

The previous prime is 10242404111. The next prime is 10242404213. The reversal of 10242404200 is 240424201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278064 + ... + 312736.

It is an arithmetic number, because the mean of its divisors is an integer number (284846910).

Almost surely, 2^10242404200 is an apocalyptic number.

10242404200 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 10242404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672651680).

10242404200 is an abundant number, since it is smaller than the sum of its proper divisors (17102899160).

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

10242404200 is a wasteful number, since it uses less digits than its factorization.

10242404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34907 (or 34898 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 10242404200 its reverse (240424201), we get a palindrome (10482828401).

The spelling of 10242404200 in words is "ten billion, two hundred forty-two million, four hundred four thousand, two hundred".