2008105129 has 8 divisors (see below), whose sum is σ = 2035336968. Its totient is φ = 1981017600.

The previous prime is 2008105123. The next prime is 2008105159. The reversal of 2008105129 is 9215018002.

It can be written as a sum of positive squares in 4 ways, for example, as 641102400 + 1367002729 = 25320^2 + 36973^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2008105129 - 2¹¹ = 2008103081 is a prime.

It is a super-2 number, since 2×2008105129² = 8064972418232213282, 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 = 2008105097 and 2008105106.

It is not an unprimeable number, because it can be changed into a prime (2008105123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7912 + ... + 63865.

It is an arithmetic number, because the mean of its divisors is an integer number (254417121).

Almost surely, 2^2008105129 is an apocalyptic number.

It is an amenable number.

2008105129 is a deficient number, since it is larger than the sum of its proper divisors (27231839).

2008105129 is a wasteful number, since it uses less digits than its factorization.

2008105129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72155.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 2008105129 is about 44811.8860236880. The cubic root of 2008105129 is about 1261.6207263821.

The spelling of 2008105129 in words is "two billion, eight million, one hundred five thousand, one hundred twenty-nine".