10170000000 has 384 divisors, whose sum is σ = 36905178960. Its totient is φ = 2688000000.

The previous prime is 10169999989. The next prime is 10170000011. The reversal of 10170000000 is 7101.

It is an interprime number because it is at equal distance from previous prime (10169999989) and next prime (10170000011).

It can be written as a sum of positive squares in 8 ways, for example, as 10155802176 + 14197824 = 100776^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89999944 + ... + 90000056.

Almost surely, 2^10170000000 is an apocalyptic number.

10170000000 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 10170000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18452589480).

10170000000 is an abundant number, since it is smaller than the sum of its proper divisors (26735178960).

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

10170000000 is an frugal number, since it uses more digits than its factorization.

10170000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

Adding to 10170000000 its reverse (7101), we get a palindrome (10170007101).

The spelling of 10170000000 in words is "ten billion, one hundred seventy million", and thus it is an aban number.