105406 has 8 divisors (see below), whose sum is σ = 180720. Its totient is φ = 45168.

The previous prime is 105401. The next prime is 105407. The reversal of 105406 is 604501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105406² = 22220849672, which contains 22 as substring.

It is a plaindrome in base 16.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 105406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105401) by changing a digit.

105406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3751 + ... + 3778.

It is an arithmetic number, because the mean of its divisors is an integer number (22590).

2¹⁰⁵⁴⁰⁶ is an apocalyptic number.

105406 is a deficient number, since it is larger than the sum of its proper divisors (75314).

105406 is an equidigital number, since it uses as much as digits as its factorization.

105406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7538.

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

The square root of 105406 is about 324.6629021000. The cubic root of 105406 is about 47.2376674326.

Adding to 105406 its reverse (604501), we get a palindrome (709907).

The spelling of 105406 in words is "one hundred five thousand, four hundred six".