10298310400 has 162 divisors, whose sum is σ = 29652451080. Its totient is φ = 3530741760.

The previous prime is 10298310383. The next prime is 10298310401. The reversal of 10298310400 is 401389201.

It is a happy number.

10298310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10298310401) 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 17 ways as a sum of consecutive naturals, for example, 297181 + ... + 330019.

Almost surely, 2^10298310400 is an apocalyptic number.

10298310400 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 10298310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826225540).

10298310400 is an abundant number, since it is smaller than the sum of its proper divisors (19354140680).

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

10298310400 is an equidigital number, since it uses as much as digits as its factorization.

10298310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32879 (or 32853 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 10298310400 its reverse (401389201), we get a palindrome (10699699601).

The spelling of 10298310400 in words is "ten billion, two hundred ninety-eight million, three hundred ten thousand, four hundred".