106769 has 8 divisors (see below), whose sum is σ = 118272. Its totient is φ = 95760.

The previous prime is 106759. The next prime is 106781. The reversal of 106769 is 967601.

It is a happy number.

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 106769 - 2⁴ = 106753 is a prime.

It is a super-2 number, since 2×106769² = 22799238722, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106739) 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, 464 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (14784).

2¹⁰⁶⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

106769 is a deficient number, since it is larger than the sum of its proper divisors (11503).

106769 is a wasteful number, since it uses less digits than its factorization.

106769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 106769 is about 326.7552600954. The cubic root of 106769 is about 47.4404054103.

The spelling of 106769 in words is "one hundred six thousand, seven hundred sixty-nine".