105480 has 48 divisors (see below), whose sum is σ = 343980. Its totient is φ = 28032.

The previous prime is 105467. The next prime is 105491. The reversal of 105480 is 84501.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 4356 = 318^2 + 66^2 .

It is a super-2 number, since 2×105480² = 22252060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214 + ... + 506.

2¹⁰⁵⁴⁸⁰ is an apocalyptic number.

105480 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 105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990).

105480 is an abundant number, since it is smaller than the sum of its proper divisors (238500).

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

105480 is a wasteful number, since it uses less digits than its factorization.

105480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105480 is about 324.7768464654. The cubic root of 105480 is about 47.2487192061.

Adding to 105480 its reverse (84501), we get a palindrome (189981).

It can be divided in two parts, 105 and 480, that added together give a palindrome (585).

The spelling of 105480 in words is "one hundred five thousand, four hundred eighty".