10300014400 has 168 divisors, whose sum is σ = 28900572120. Its totient is φ = 3579248640.

The previous prime is 10300014377. The next prime is 10300014427. The reversal of 10300014400 is 441000301.

It can be written as a sum of positive squares in 12 ways, for example, as 4384558656 + 5915455744 = 66216^2 + 76912^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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 23 ways as a sum of consecutive naturals, for example, 339036 + ... + 368164.

It is an arithmetic number, because the mean of its divisors is an integer number (172027215).

Almost surely, 2^10300014400 is an apocalyptic number.

10300014400 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 10300014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450286060).

10300014400 is an abundant number, since it is smaller than the sum of its proper divisors (18600557720).

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

10300014400 is a wasteful number, since it uses less digits than its factorization.

10300014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29181 (or 29166 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10300014400 its reverse (441000301), we get a palindrome (10741014701).

The spelling of 10300014400 in words is "ten billion, three hundred million, fourteen thousand, four hundred".