106107729 has 16 divisors (see below), whose sum is σ = 174125952. Its totient is φ = 55968768.

The previous prime is 106107707. The next prime is 106107751. The reversal of 106107729 is 927701601.

It is an interprime number because it is at equal distance from previous prime (106107707) and next prime (106107751).

It is not a de Polignac number, because 106107729 - 2⁸ = 106107473 is a prime.

It is a super-2 number, since 2×106107729² = 22517700307074882, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106107729.

It is not an unprimeable number, because it can be changed into a prime (106107779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194064 + ... + 194609.

It is an arithmetic number, because the mean of its divisors is an integer number (10882872).

Almost surely, 2^106107729 is an apocalyptic number.

It is an amenable number.

106107729 is a deficient number, since it is larger than the sum of its proper divisors (68018223).

106107729 is a wasteful number, since it uses less digits than its factorization.

106107729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388696.

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 106107729 is about 10300.8605951153. The cubic root of 106107729 is about 473.4226221272.

The spelling of 106107729 in words is "one hundred six million, one hundred seven thousand, seven hundred twenty-nine".