106730256 has 40 divisors (see below), whose sum is σ = 276544800. Its totient is φ = 35470336.

The previous prime is 106730251. The next prime is 106730291. The reversal of 106730256 is 652037601.

It is a super-2 number, since 2×106730256² = 22782695091651072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106730251) by changing a digit.

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, 13795 + ... + 20093.

It is an arithmetic number, because the mean of its divisors is an integer number (6913620).

Almost surely, 2^106730256 is an apocalyptic number.

106730256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106730256 is an abundant number, since it is smaller than the sum of its proper divisors (169814544).

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

106730256 is a wasteful number, since it uses less digits than its factorization.

106730256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 106730256 is about 10331.0336365729. The cubic root of 106730256 is about 474.3466637416.

Adding to 106730256 its reverse (652037601), we get a palindrome (758767857).

The spelling of 106730256 in words is "one hundred six million, seven hundred thirty thousand, two hundred fifty-six".