106824729 has 32 divisors (see below), whose sum is σ = 161906688. Its totient is φ = 62581200.

The previous prime is 106824727. The next prime is 106824737. The reversal of 106824729 is 927428601.

It is not a de Polignac number, because 106824729 - 2¹ = 106824727 is a prime.

It is a super-2 number, since 2×106824729² = 22823045451846882, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (106824727) 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 31 ways as a sum of consecutive naturals, for example, 123352 + ... + 124214.

It is an arithmetic number, because the mean of its divisors is an integer number (5059584).

Almost surely, 2^106824729 is an apocalyptic number.

It is an amenable number.

106824729 is a deficient number, since it is larger than the sum of its proper divisors (55081959).

106824729 is an equidigital number, since it uses as much as digits as its factorization.

106824729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 106824729 is about 10335.6049169848. The cubic root of 106824729 is about 474.4865795080.

The spelling of 106824729 in words is "one hundred six million, eight hundred twenty-four thousand, seven hundred twenty-nine".