104160 has 96 divisors (see below), whose sum is σ = 387072. Its totient is φ = 23040.

The previous prime is 104149. The next prime is 104161. The reversal of 104160 is 61401.

104160 = T₁₆₉ + T₁₇₀ + ... + T₁₇₅.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104161) by changing a digit.

104160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2¹⁰⁴¹⁶⁰ is an apocalyptic number.

104160 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 104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

104160 is an abundant number, since it is smaller than the sum of its proper divisors (282912).

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

104160 is a wasteful number, since it uses less digits than its factorization.

104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 104160 is about 322.7382840631. The cubic root of 104160 is about 47.0507976509.

Adding to 104160 its reverse (61401), we get a palindrome (165561).

The spelling of 104160 in words is "one hundred four thousand, one hundred sixty".