105084 has 48 divisors (see below), whose sum is σ = 313600. Its totient is φ = 29808.

The previous prime is 105071. The next prime is 105097. The reversal of 105084 is 480501.

It is an interprime number because it is at equal distance from previous prime (105071) and next prime (105097).

It is a super-2 number, since 2×105084² = 22085294112, which contains 22 as substring.

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

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 105084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687 + ... + 825.

2¹⁰⁵⁰⁸⁴ is an apocalyptic number.

105084 is a gapful number since it is divisible by the number (14) 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 105084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156800).

105084 is an abundant number, since it is smaller than the sum of its proper divisors (208516).

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

105084 is a wasteful number, since it uses less digits than its factorization.

105084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

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

The square root of 105084 is about 324.1666238218. The cubic root of 105084 is about 47.1895169671.

Adding to 105084 its reverse (480501), we get a palindrome (585585).

The spelling of 105084 in words is "one hundred five thousand, eighty-four".