10034333300 has 36 divisors (see below), whose sum is σ = 23055360300. Its totient is φ = 3777630720.

The previous prime is 10034333299. The next prime is 10034333321. The reversal of 10034333300 is 333343001.

10034333300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 674544784 + 9359788516 = 25972^2 + 96746^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2949575 + ... + 2952974.

It is an arithmetic number, because the mean of its divisors is an integer number (640426675).

Almost surely, 2^10034333300 is an apocalyptic number.

10034333300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034333300 is an abundant number, since it is smaller than the sum of its proper divisors (13021027000).

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

10034333300 is a wasteful number, since it uses less digits than its factorization.

10034333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902580 (or 5902573 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 10034333300 its reverse (333343001), we get a palindrome (10367676301).

The spelling of 10034333300 in words is "ten billion, thirty-four million, three hundred thirty-three thousand, three hundred".