10500002334 has 48 divisors (see below), whose sum is σ = 23611507920. Its totient is φ = 3368252160.

The previous prime is 10500002329. The next prime is 10500002353. The reversal of 10500002334 is 43320000501.

10500002334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10500002334² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 127494 + ... + 193014.

It is an arithmetic number, because the mean of its divisors is an integer number (491906415).

Almost surely, 2^10500002334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500002334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805753960).

10500002334 is an abundant number, since it is smaller than the sum of its proper divisors (13111505586).

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

10500002334 is a wasteful number, since it uses less digits than its factorization.

10500002334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65865 (or 65862 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10500002334 its reverse (43320000501), we get a palindrome (53820002835).

The spelling of 10500002334 in words is "ten billion, five hundred million, two thousand, three hundred thirty-four".