108400829 has 2 divisors, whose sum is σ = 108400830. Its totient is φ = 108400828.

The previous prime is 108400793. The next prime is 108400837. The reversal of 108400829 is 928004801.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99460729 + 8940100 = 9973^2 + 2990^2 .

It is a cyclic number.

It is not a de Polignac number, because 108400829 - 2¹² = 108396733 is a prime.

It is equal to p_6216764 and since 108400829 and 6216764 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 = 108400795 and 108400804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108400849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54200414 + 54200415.

It is an arithmetic number, because the mean of its divisors is an integer number (54200415).

Almost surely, 2^108400829 is an apocalyptic number.

It is an amenable number.

108400829 is a deficient number, since it is larger than the sum of its proper divisors (1).

108400829 is an equidigital number, since it uses as much as digits as its factorization.

108400829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 108400829 is about 10411.5718794042. The cubic root of 108400829 is about 476.8087330357.

The spelling of 108400829 in words is "one hundred eight million, four hundred thousand, eight hundred twenty-nine".