10334634200 has 144 divisors (see below), whose sum is σ = 26494398000. Its totient is φ = 3746195200.

The previous prime is 10334634161. The next prime is 10334634239. The reversal of 10334634200 is 243643301.

It is a happy number.

10334634200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10334634161) and next prime (10334634239).

It is a self number, because there is not a number n which added to its sum of digits gives 10334634200.

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 35 ways as a sum of consecutive naturals, for example, 12317381 + ... + 12318219.

It is an arithmetic number, because the mean of its divisors is an integer number (183988875).

Almost surely, 2^10334634200 is an apocalyptic number.

10334634200 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 10334634200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247199000).

10334634200 is an abundant number, since it is smaller than the sum of its proper divisors (16159763800).

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

10334634200 is a wasteful number, since it uses less digits than its factorization.

10334634200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 10334634200 in words is "ten billion, three hundred thirty-four million, six hundred thirty-four thousand, two hundred".