106784256 has 80 divisors (see below), whose sum is σ = 299534400. Its totient is φ = 33712128.

The previous prime is 106784233. The next prime is 106784261. The reversal of 106784256 is 652487601.

It is a super-2 number, since 2×106784256² = 22805754658947072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27355 + ... + 31013.

It is an arithmetic number, because the mean of its divisors is an integer number (3744180).

Almost surely, 2^106784256 is an apocalyptic number.

106784256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149767200).

106784256 is an abundant number, since it is smaller than the sum of its proper divisors (192750144).

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

106784256 is an equidigital number, since it uses as much as digits as its factorization.

106784256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 106784256 is about 10333.6467909446. The cubic root of 106784256 is about 474.4266485622.

The spelling of 106784256 in words is "one hundred six million, seven hundred eighty-four thousand, two hundred fifty-six".