84105 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 38016.

The previous prime is 84089. The next prime is 84121. The reversal of 84105 is 50148.

It is an interprime number because it is at equal distance from previous prime (84089) and next prime (84121).

It is not a de Polignac number, because 84105 - 2⁴ = 84089 is a prime.

It is a Curzon number.

84105 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁸⁴¹⁰⁵ is an apocalyptic number.

It is an amenable number.

84105 is an abundant number, since it is smaller than the sum of its proper divisors (88695).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

84105 is a wasteful number, since it uses less digits than its factorization.

84105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

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

The square root of 84105 is about 290.0086205615. The cubic root of 84105 is about 43.8134317972.

The spelling of 84105 in words is "eighty-four thousand, one hundred five".