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10160 = 245127

10160 has 20 divisors (see below), whose sum is σ = 23808. Its totient is φ = 4032.

The previous prime is 10159. The next prime is 10163. The reversal of 10160 is 6101.

Adding to 10160 its reverse (6101), we get a palindrome (16261).

It can be divided in two parts, 101 and 60, that added together give a palindrome (161).

10160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10160.

It is not an unprimeable number, because it can be changed into a prime (10163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 143.

210160 is an apocalyptic number.

10160 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 10160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904).

10160 is an abundant number, since it is smaller than the sum of its proper divisors (13648).

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

10160 is a wasteful number, since it uses less digits than its factorization.

10160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10160 is about 100.7968253468. The cubic root of 10160 is about 21.6586426566.

The spelling of 10160 in words is "ten thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160