105160 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 38080.

The previous prime is 105143. The next prime is 105167. The reversal of 105160 is 61501.

It is a super-2 number, since 2×105160² = 22117251200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105160.

It is not an unprimeable number, because it can be changed into a prime (105167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁰⁵¹⁶⁰ is an apocalyptic number.

105160 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 105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

105160 is an abundant number, since it is smaller than the sum of its proper divisors (154040).

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

105160 is a wasteful number, since it uses less digits than its factorization.

105160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105160 is about 324.2838263004. The cubic root of 105160 is about 47.2008905319.

Adding to 105160 its reverse (61501), we get a palindrome (166661).

It can be divided in two parts, 1051 and 60, that added together give a palindrome (1111).

The spelling of 105160 in words is "one hundred five thousand, one hundred sixty".