108005629 has 2 divisors, whose sum is σ = 108005630. Its totient is φ = 108005628.

The previous prime is 108005621. The next prime is 108005647. The reversal of 108005629 is 926500801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94536729 + 13468900 = 9723^2 + 3670^2 .

It is a cyclic number.

It is not a de Polignac number, because 108005629 - 2³ = 108005621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 108005629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108005621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54002814 + 54002815.

It is an arithmetic number, because the mean of its divisors is an integer number (54002815).

Almost surely, 2^108005629 is an apocalyptic number.

It is an amenable number.

108005629 is a deficient number, since it is larger than the sum of its proper divisors (1).

108005629 is an equidigital number, since it uses as much as digits as its factorization.

108005629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 108005629 is about 10392.5756672732. The cubic root of 108005629 is about 476.2285890398.

The spelling of 108005629 in words is "one hundred eight million, five thousand, six hundred twenty-nine".