106084 has 12 divisors (see below), whose sum is σ = 202608. Its totient is φ = 48200.

The previous prime is 106033. The next prime is 106087. The reversal of 106084 is 480601.

106084 = T₈₇ + T₈₈ + ... + T₁₀₈.

It is a super-2 number, since 2×106084² = 22507630112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106087) by changing a digit.

106084 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, 1162 + ... + 1249.

It is an arithmetic number, because the mean of its divisors is an integer number (16884).

2¹⁰⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

106084 is a deficient number, since it is larger than the sum of its proper divisors (96524).

106084 is a wasteful number, since it uses less digits than its factorization.

106084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 106084 is about 325.7053883497. The cubic root of 106084 is about 47.3387328805.

Adding to 106084 its product of nonzero digits (192), we get a square (106276 = 326²).

Adding to 106084 its reverse (480601), we get a palindrome (586685).

The spelling of 106084 in words is "one hundred six thousand, eighty-four".