107684 has 6 divisors (see below), whose sum is σ = 188454. Its totient is φ = 53840.

The previous prime is 107671. The next prime is 107687. The reversal of 107684 is 486701.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 100 = 328^2 + 10^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107687) by changing a digit.

107684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 13457 + ... + 13464.

It is an arithmetic number, because the mean of its divisors is an integer number (31409).

2¹⁰⁷⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

107684 is a deficient number, since it is larger than the sum of its proper divisors (80770).

107684 is a wasteful number, since it uses less digits than its factorization.

107684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26925 (or 26923 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 107684 is about 328.1524036176. The cubic root of 107684 is about 47.5755400070.

The spelling of 107684 in words is "one hundred seven thousand, six hundred eighty-four".