10506335000 has 480 divisors, whose sum is σ = 31464615600. Its totient is φ = 3265920000.

The previous prime is 10506334999. The next prime is 10506335041. The reversal of 10506335000 is 53360501.

10506335000 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 2×10506335000² (a number of 21 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 172234970 + ... + 172235030.

Almost surely, 2^10506335000 is an apocalyptic number.

10506335000 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 10506335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732307800).

10506335000 is an abundant number, since it is smaller than the sum of its proper divisors (20958280600).

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

10506335000 is a wasteful number, since it uses less digits than its factorization.

10506335000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

Adding to 10506335000 its reverse (53360501), we get a palindrome (10559695501).

The spelling of 10506335000 in words is "ten billion, five hundred six million, three hundred thirty-five thousand".