10135304300 has 144 divisors (see below), whose sum is σ = 25072395264. Its totient is φ = 3522720000.

The previous prime is 10135304299. The next prime is 10135304317. The reversal of 10135304300 is 340353101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828510 + ... + 2832090.

It is an arithmetic number, because the mean of its divisors is an integer number (174113856).

Almost surely, 2^10135304300 is an apocalyptic number.

10135304300 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 10135304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536197632).

10135304300 is an abundant number, since it is smaller than the sum of its proper divisors (14937090964).

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

10135304300 is a wasteful number, since it uses less digits than its factorization.

10135304300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10135304300 its reverse (340353101), we get a palindrome (10475657401).

The spelling of 10135304300 in words is "ten billion, one hundred thirty-five million, three hundred four thousand, three hundred".