106304256 has 216 divisors, whose sum is σ = 333212880. Its totient is φ = 32514048.

The previous prime is 106304249. The next prime is 106304257. The reversal of 106304256 is 652403601.

106304256 is a `hidden beast` number, since 1 + 0 + 630 + 4 + 25 + 6 = 666.

It is a super-2 number, since 2×106304256² = 22601189687427072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106304257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472171 + ... + 2472213.

Almost surely, 2^106304256 is an apocalyptic number.

106304256 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 106304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166606440).

106304256 is an abundant number, since it is smaller than the sum of its proper divisors (226908624).

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

106304256 is a wasteful number, since it uses less digits than its factorization.

106304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106304256 is about 10310.3955307253. The cubic root of 106304256 is about 473.7147244593.

Adding to 106304256 its reverse (652403601), we get a palindrome (758707857).

The spelling of 106304256 in words is "one hundred six million, three hundred four thousand, two hundred fifty-six".