106282944 has 84 divisors (see below), whose sum is σ = 312937144. Its totient is φ = 34463232.

The previous prime is 106282937. The next prime is 106282949. The reversal of 106282944 is 449282601.

106282944 is a `hidden beast` number, since 1 + 0 + 628 + 29 + 4 + 4 = 666.

It is a super-2 number, since 2×106282944² = 22592128370614272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106282899 and 106282908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106282949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18819 + ... + 23805.

Almost surely, 2^106282944 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 106282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156468572).

106282944 is an abundant number, since it is smaller than the sum of its proper divisors (206654200).

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

106282944 is a wasteful number, since it uses less digits than its factorization.

106282944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106282944 is about 10309.3619589187. The cubic root of 106282944 is about 473.6830653851.

The spelling of 106282944 in words is "one hundred six million, two hundred eighty-two thousand, nine hundred forty-four".