10442010300 has 144 divisors (see below), whose sum is σ = 32467921920. Its totient is φ = 2581539840.

The previous prime is 10442010277. The next prime is 10442010311. The reversal of 10442010300 is 301024401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10442010300.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 326421 + ... + 356979.

It is an arithmetic number, because the mean of its divisors is an integer number (225471680).

Almost surely, 2^10442010300 is an apocalyptic number.

10442010300 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 10442010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233960960).

10442010300 is an abundant number, since it is smaller than the sum of its proper divisors (22025911620).

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

10442010300 is a wasteful number, since it uses less digits than its factorization.

10442010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30660 (or 30653 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10442010300 its reverse (301024401), we get a palindrome (10743034701).

The spelling of 10442010300 in words is "ten billion, four hundred forty-two million, ten thousand, three hundred".