106768 has 10 divisors (see below), whose sum is σ = 206894. Its totient is φ = 53376.

The previous prime is 106759. The next prime is 106781. The reversal of 106768 is 867601.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 43264 = 252^2 + 208^2 .

It is a super-2 number, since 2×106768² = 22798811648, which contains 22 as substring.

It is an unprimeable number.

106768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3321 + ... + 3352.

2¹⁰⁶⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

106768 is a deficient number, since it is larger than the sum of its proper divisors (100126).

106768 is an equidigital number, since it uses as much as digits as its factorization.

106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 106768 is about 326.7537298945. The cubic root of 106768 is about 47.4402573006.

The spelling of 106768 in words is "one hundred six thousand, seven hundred sixty-eight".