106825 has 6 divisors (see below), whose sum is σ = 132494. Its totient is φ = 85440.

The previous prime is 106823. The next prime is 106853. The reversal of 106825 is 528601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1849 + 104976 = 43^2 + 324^2 .

It is not a de Polignac number, because 106825 - 2¹ = 106823 is a prime.

It is a super-2 number, since 2×106825² = 22823161250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106796 and 106805.

It is not an unprimeable number, because it can be changed into a prime (106823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2112 + ... + 2161.

2¹⁰⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

106825 is a deficient number, since it is larger than the sum of its proper divisors (25669).

106825 is an equidigital number, since it uses as much as digits as its factorization.

106825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 106825 is about 326.8409399081. The cubic root of 106825 is about 47.4486980744.

The spelling of 106825 in words is "one hundred six thousand, eight hundred twenty-five".