105408 has 56 divisors (see below), whose sum is σ = 314960. Its totient is φ = 34560.

The previous prime is 105407. The next prime is 105437. The reversal of 105408 is 804501.

It is a super-2 number, since 2×105408² = 22221692928, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105401) 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, 1698 + ... + 1758.

2¹⁰⁵⁴⁰⁸ is an apocalyptic number.

105408 is a gapful number since it is divisible by the number (18) 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 105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157480).

105408 is an abundant number, since it is smaller than the sum of its proper divisors (209552).

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

105408 is an equidigital number, since it uses as much as digits as its factorization.

105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

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

The square root of 105408 is about 324.6659822032. The cubic root of 105408 is about 47.2379661972.

Adding to 105408 its reverse (804501), we get a palindrome (909909).

The spelling of 105408 in words is "one hundred five thousand, four hundred eight".