105460 has 12 divisors (see below), whose sum is σ = 221508. Its totient is φ = 42176.

The previous prime is 105449. The next prime is 105467. The reversal of 105460 is 64501.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 60516 = 212^2 + 246^2 .

It is a super-2 number, since 2×105460² = 22243623200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105467) by changing a digit.

105460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2617 + ... + 2656.

It is an arithmetic number, because the mean of its divisors is an integer number (18459).

2¹⁰⁵⁴⁶⁰ is an apocalyptic number.

105460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105460 is an abundant number, since it is smaller than the sum of its proper divisors (116048).

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

105460 is a wasteful number, since it uses less digits than its factorization.

105460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105460 is about 324.7460546335. The cubic root of 105460 is about 47.2457327501.

Adding to 105460 its reverse (64501), we get a palindrome (169961).

It can be divided in two parts, 105 and 460, that added together give a palindrome (565).

The spelling of 105460 in words is "one hundred five thousand, four hundred sixty".