10300414300 has 288 divisors, whose sum is σ = 26773286400. Its totient is φ = 3400320000.

The previous prime is 10300414279. The next prime is 10300414301. The reversal of 10300414300 is 341400301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300414301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74103631 + ... + 74103769.

It is an arithmetic number, because the mean of its divisors is an integer number (92962800).

Almost surely, 2^10300414300 is an apocalyptic number.

10300414300 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 10300414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386643200).

10300414300 is an abundant number, since it is smaller than the sum of its proper divisors (16472872100).

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

10300414300 is a wasteful number, since it uses less digits than its factorization.

10300414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10300414300 its reverse (341400301), we get a palindrome (10641814601).

The spelling of 10300414300 in words is "ten billion, three hundred million, four hundred fourteen thousand, three hundred".