107084 has 12 divisors (see below), whose sum is σ = 197400. Its totient is φ = 50688.

The previous prime is 107077. The next prime is 107089. The reversal of 107084 is 480701.

It is a happy number.

It is a super-2 number, since 2×107084² = 22933966112, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107084.

It is not an unprimeable number, because it can be changed into a prime (107089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (16450).

2¹⁰⁷⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

107084 is a deficient number, since it is larger than the sum of its proper divisors (90316).

107084 is a wasteful number, since it uses less digits than its factorization.

107084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 107084 is about 327.2369172328. The cubic root of 107084 is about 47.4870139939.

Adding to 107084 its reverse (480701), we get a palindrome (587785).

The spelling of 107084 in words is "one hundred seven thousand, eighty-four".