100160 has 28 divisors (see below), whose sum is σ = 239268. Its totient is φ = 39936.

The previous prime is 100153. The next prime is 100169. The reversal of 100160 is 61001.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 87616 = 112^2 + 296^2 .

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

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100160.

It is not an unprimeable number, because it can be changed into a prime (100169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164 + ... + 476.

2¹⁰⁰¹⁶⁰ is an apocalyptic number.

100160 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 100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119634).

100160 is an abundant number, since it is smaller than the sum of its proper divisors (139108).

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

100160 is an equidigital number, since it uses as much as digits as its factorization.

100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

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

The square root of 100160 is about 316.4806471176. The cubic root of 100160 is about 46.4406302856.

Adding to 100160 its reverse (61001), we get a palindrome (161161).

The spelling of 100160 in words is "one hundred thousand, one hundred sixty".