10134330304 has 112 divisors (see below), whose sum is σ = 23460212160. Its totient is φ = 4254105600.

The previous prime is 10134330259. The next prime is 10134330341. The reversal of 10134330304 is 40303343101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4387902 + ... + 4390210.

It is an arithmetic number, because the mean of its divisors is an integer number (209466180).

Almost surely, 2^10134330304 is an apocalyptic number.

10134330304 is a gapful number since it is divisible by the number (14) 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 10134330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11730106080).

10134330304 is an abundant number, since it is smaller than the sum of its proper divisors (13325881856).

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

10134330304 is a wasteful number, since it uses less digits than its factorization.

10134330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10134330304 its reverse (40303343101), we get a palindrome (50437673405).

The spelling of 10134330304 in words is "ten billion, one hundred thirty-four million, three hundred thirty thousand, three hundred four".