106712256 has 56 divisors (see below), whose sum is σ = 322681600. Its totient is φ = 30488832.

The previous prime is 106712251. The next prime is 106712293. The reversal of 106712256 is 652217601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106712256² = 22775011161219072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106712251) 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, 38356 + ... + 41043.

Almost surely, 2^106712256 is an apocalyptic number.

106712256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106712256 is an abundant number, since it is smaller than the sum of its proper divisors (215969344).

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

106712256 is an equidigital number, since it uses as much as digits as its factorization.

106712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79421 (or 79411 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106712256 is about 10330.1624382194. The cubic root of 106712256 is about 474.3199961395.

Adding to 106712256 its reverse (652217601), we get a palindrome (758929857).

The spelling of 106712256 in words is "one hundred six million, seven hundred twelve thousand, two hundred fifty-six".