10334003200 has 84 divisors (see below), whose sum is σ = 25627271580. Its totient is φ = 4133519360.

The previous prime is 10334003191. The next prime is 10334003209. The reversal of 10334003200 is 230043301.

It is an interprime number because it is at equal distance from previous prime (10334003191) and next prime (10334003209).

It is a super-2 number, since 2×10334003200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334003209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179571 + ... + 230029.

Almost surely, 2^10334003200 is an apocalyptic number.

10334003200 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 10334003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12813635790).

10334003200 is an abundant number, since it is smaller than the sum of its proper divisors (15293268380).

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

10334003200 is an frugal number, since it uses more digits than its factorization.

10334003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50495 (or 50466 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10334003200 its reverse (230043301), we get a palindrome (10564046501).

The spelling of 10334003200 in words is "ten billion, three hundred thirty-four million, three thousand, two hundred".