106829 has 4 divisors (see below), whose sum is σ = 107484. Its totient is φ = 106176.

The previous prime is 106823. The next prime is 106853. The reversal of 106829 is 928601.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 928601 = 59 ⋅15739.

It can be written as a sum of positive squares in 2 ways, for example, as 15625 + 91204 = 125^2 + 302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106829 is a prime.

It is a super-2 number, since 2×106829² = 22824870482, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106798 and 106807.

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 3 ways as a sum of consecutive naturals, for example, 149 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (26871).

2¹⁰⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

106829 is a deficient number, since it is larger than the sum of its proper divisors (655).

106829 is an equidigital number, since it uses as much as digits as its factorization.

106829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106829 is about 326.8470590353. The cubic root of 106829 is about 47.4492902966.

The spelling of 106829 in words is "one hundred six thousand, eight hundred twenty-nine".