106824081 has 64 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 53464320.

The previous prime is 106824077. The next prime is 106824089. The reversal of 106824081 is 180428601.

It is not a de Polignac number, because 106824081 - 2² = 106824077 is a prime.

It is a super-2 number, since 2×106824081² = 22822768562989122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106824089) 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 63 ways as a sum of consecutive naturals, for example, 815386 + ... + 815516.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^106824081 is an apocalyptic number.

It is an amenable number.

106824081 is a deficient number, since it is larger than the sum of its proper divisors (77680239).

106824081 is a wasteful number, since it uses less digits than its factorization.

106824081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 106824081 is about 10335.5735689898. The cubic root of 106824081 is about 474.4856200924.

The spelling of 106824081 in words is "one hundred six million, eight hundred twenty-four thousand, eighty-one".