106784 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 51520.

The previous prime is 106783. The next prime is 106787. The reversal of 106784 is 487601.

106784 = 20³ + 21³ + ... + 27³.

It is a super-2 number, since 2×106784² = 22805645312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1469 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁰⁶⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

106784 is an abundant number, since it is smaller than the sum of its proper divisors (110944).

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

106784 is an equidigital number, since it uses as much as digits as its factorization.

106784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

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

The square root of 106784 is about 326.7782122480. The cubic root of 106784 is about 47.4426269439.

The spelling of 106784 in words is "one hundred six thousand, seven hundred eighty-four".