106008729 has 8 divisors (see below), whose sum is σ = 141442752. Its totient is φ = 70623600.

The previous prime is 106008703. The next prime is 106008743. The reversal of 106008729 is 927800601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106008729 - 2⁵ = 106008697 is a prime.

It is a super-2 number, since 2×106008729² = 22475701248390882, 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 106008729.

It is not an unprimeable number, because it can be changed into a prime (106008769) 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, 6822 + ... + 16079.

It is an arithmetic number, because the mean of its divisors is an integer number (17680344).

Almost surely, 2^106008729 is an apocalyptic number.

It is an amenable number.

106008729 is a deficient number, since it is larger than the sum of its proper divisors (35434023).

106008729 is a wasteful number, since it uses less digits than its factorization.

106008729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24447.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 106008729 is about 10296.0540499747. The cubic root of 106008729 is about 473.2753396624.

The spelling of 106008729 in words is "one hundred six million, eight thousand, seven hundred twenty-nine".