106729 has 8 divisors (see below), whose sum is σ = 124160. Its totient is φ = 89856.

The previous prime is 106727. The next prime is 106739. The reversal of 106729 is 927601.

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

It is a cyclic number.

It is not a de Polignac number, because 106729 - 2¹ = 106727 is a prime.

It is a super-2 number, since 2×106729² = 22782158882, which contains 22 as substring.

It is a Duffinian number.

106729 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (106721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (15520).

2¹⁰⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

106729 is a deficient number, since it is larger than the sum of its proper divisors (17431).

106729 is an equidigital number, since it uses as much as digits as its factorization.

106729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 106729 is about 326.6940464716. The cubic root of 106729 is about 47.4344803033.

The spelling of 106729 in words is "one hundred six thousand, seven hundred twenty-nine".