106797 has 8 divisors (see below), whose sum is σ = 144256. Its totient is φ = 70272.

The previous prime is 106787. The next prime is 106801. The reversal of 106797 is 797601.

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

It is not a de Polignac number, because 106797 - 2⁴ = 106781 is a prime.

It is a super-2 number, since 2×106797² = 22811198418, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106727) 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, 108 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (18032).

2¹⁰⁶⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

106797 is a deficient number, since it is larger than the sum of its proper divisors (37459).

106797 is an equidigital number, since it uses as much as digits as its factorization.

106797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 106797 is about 326.7981028097. The cubic root of 106797 is about 47.4445521047. Note that the first 3 decimals are identical.

It can be divided in two parts, 106 and 797, that added together give a triangular number (903 = T₄₂).

The spelling of 106797 in words is "one hundred six thousand, seven hundred ninety-seven".