10334103136 has 288 divisors, whose sum is σ = 26279225280. Its totient is φ = 3973939200.

The previous prime is 10334103127. The next prime is 10334103163. The reversal of 10334103136 is 63130143301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10334103136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42879976 + ... + 42880216.

It is an arithmetic number, because the mean of its divisors is an integer number (91247310).

Almost surely, 2^10334103136 is an apocalyptic number.

10334103136 is a gapful number since it is divisible by the number (16) 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 10334103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139612640).

10334103136 is an abundant number, since it is smaller than the sum of its proper divisors (15945122144).

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

10334103136 is a wasteful number, since it uses less digits than its factorization.

10334103136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10334103136 its reverse (63130143301), we get a palindrome (73464246437).

The spelling of 10334103136 in words is "ten billion, three hundred thirty-four million, one hundred three thousand, one hundred thirty-six".