105468 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 29440.

The previous prime is 105467. The next prime is 105491. The reversal of 105468 is 864501.

It is a super-2 number, since 2×105468² = 22246998048, which contains 22 as substring.

It is a plaindrome in base 5.

It is a zygodrome in base 5.

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 105468.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2221 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2¹⁰⁵⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

105468 is an abundant number, since it is smaller than the sum of its proper divisors (184836).

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

105468 is a wasteful number, since it uses less digits than its factorization.

105468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105468 is about 324.7583717166. The cubic root of 105468 is about 47.2469273778.

Adding to 105468 its reverse (864501), we get a palindrome (969969).

The spelling of 105468 in words is "one hundred five thousand, four hundred sixty-eight".