10117300160 has 112 divisors (see below), whose sum is σ = 26674876800. Its totient is φ = 3624023040.

The previous prime is 10117300159. The next prime is 10117300183. The reversal of 10117300160 is 6100371101.

10117300160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 214391 + ... + 257289.

Almost surely, 2^10117300160 is an apocalyptic number.

10117300160 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 10117300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337438400).

10117300160 is an abundant number, since it is smaller than the sum of its proper divisors (16557576640).

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

10117300160 is a wasteful number, since it uses less digits than its factorization.

10117300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42994 (or 42984 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 10117300160 its reverse (6100371101), we get a palindrome (16217671261).

The spelling of 10117300160 in words is "ten billion, one hundred seventeen million, three hundred thousand, one hundred sixty".