106827 has 8 divisors (see below), whose sum is σ = 162816. Its totient is φ = 61032.

The previous prime is 106823. The next prime is 106853. The reversal of 106827 is 728601.

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

It is not a de Polignac number, because 106827 - 2² = 106823 is a prime.

It is a super-2 number, since 2×106827² = 22824015858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106797 and 106806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106823) 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, 2523 + ... + 2564.

It is an arithmetic number, because the mean of its divisors is an integer number (20352).

2¹⁰⁶⁸²⁷ is an apocalyptic number.

106827 is a deficient number, since it is larger than the sum of its proper divisors (55989).

106827 is an equidigital number, since it uses as much as digits as its factorization.

106827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 106827 is about 326.8439994860. The cubic root of 106827 is about 47.4489941874.

The spelling of 106827 in words is "one hundred six thousand, eight hundred twenty-seven".