10317107200 has 156 divisors (see below), whose sum is σ = 26079718068. Its totient is φ = 4046848000.

The previous prime is 10317107161. The next prime is 10317107221. The reversal of 10317107200 is 270171301.

It can be written as a sum of positive squares in 6 ways, for example, as 753831936 + 9563275264 = 27456^2 + 97792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5426250 + ... + 5428150.

Almost surely, 2^10317107200 is an apocalyptic number.

10317107200 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 10317107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039859034).

10317107200 is an abundant number, since it is smaller than the sum of its proper divisors (15762610868).

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

10317107200 is an equidigital number, since it uses as much as digits as its factorization.

10317107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

Adding to 10317107200 its reverse (270171301), we get a palindrome (10587278501).

The spelling of 10317107200 in words is "ten billion, three hundred seventeen million, one hundred seven thousand, two hundred".