106824825 has 60 divisors (see below), whose sum is σ = 200933568. Its totient is φ = 56095200.

The previous prime is 106824797. The next prime is 106824829. The reversal of 106824825 is 528428601.

It is not a de Polignac number, because 106824825 - 2⁶ = 106824761 is a prime.

It is a super-2 number, since 2×106824825² = 22823086472561250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106824825.

It is not an unprimeable number, because it can be changed into a prime (106824829) 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 59 ways as a sum of consecutive naturals, for example, 143404 + ... + 144146.

Almost surely, 2^106824825 is an apocalyptic number.

106824825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106824825 is a deficient number, since it is larger than the sum of its proper divisors (94108743).

106824825 is an equidigital number, since it uses as much as digits as its factorization.

106824825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106824825 is about 10335.6095611241. The cubic root of 106824825 is about 474.4867216433.

The spelling of 106824825 in words is "one hundred six million, eight hundred twenty-four thousand, eight hundred twenty-five".