106824645 has 24 divisors (see below), whose sum is σ = 187079256. Its totient is φ = 56383488.

The previous prime is 106824637. The next prime is 106824649. The reversal of 106824645 is 546428601.

106824645 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 2 + 4 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20223009 + 86601636 = 4497^2 + 9306^2 .

It is not a de Polignac number, because 106824645 - 2³ = 106824637 is a prime.

It is a super-2 number, since 2×106824645² = 22823009558752050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106824649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7872 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (7794969).

Almost surely, 2^106824645 is an apocalyptic number.

106824645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106824645 is a deficient number, since it is larger than the sum of its proper divisors (80254611).

106824645 is a wasteful number, since it uses less digits than its factorization.

106824645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24581 (or 24578 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 106824645 is about 10335.6008533612. The cubic root of 106824645 is about 474.4864551395.

The spelling of 106824645 in words is "one hundred six million, eight hundred twenty-four thousand, six hundred forty-five".