10206316500 has 96 divisors (see below), whose sum is σ = 29918284032. Its totient is φ = 2703600000.

The previous prime is 10206316489. The next prime is 10206316529. The reversal of 10206316500 is 561360201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203970 + ... + 249030.

It is an arithmetic number, because the mean of its divisors is an integer number (311648792).

Almost surely, 2^10206316500 is an apocalyptic number.

10206316500 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 10206316500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959142016).

10206316500 is an abundant number, since it is smaller than the sum of its proper divisors (19711967532).

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

10206316500 is a wasteful number, since it uses less digits than its factorization.

10206316500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45234 (or 45222 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10206316500 its reverse (561360201), we get a palindrome (10767676701).

The spelling of 10206316500 in words is "ten billion, two hundred six million, three hundred sixteen thousand, five hundred".