108000829 has 2 divisors, whose sum is σ = 108000830. Its totient is φ = 108000828.

The previous prime is 108000811. The next prime is 108000839. The reversal of 108000829 is 928000801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77475204 + 30525625 = 8802^2 + 5525^2 .

It is a cyclic number.

It is not a de Polignac number, because 108000829 - 2⁷ = 108000701 is a prime.

It is a Chen prime.

It is equal to p_6195007 and since 108000829 and 6195007 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 108000797 and 108000806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108000839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54000414 + 54000415.

It is an arithmetic number, because the mean of its divisors is an integer number (54000415).

Almost surely, 2^108000829 is an apocalyptic number.

It is an amenable number.

108000829 is a deficient number, since it is larger than the sum of its proper divisors (1).

108000829 is an equidigital number, since it uses as much as digits as its factorization.

108000829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 108000829 is about 10392.3447306178. The cubic root of 108000829 is about 476.2215340646.

Subtracting from 108000829 its sum of digits (28), we obtain a palindrome (108000801).

The spelling of 108000829 in words is "one hundred eight million, eight hundred twenty-nine", and thus it is an aban number.