2006104319 has 16 divisors (see below), whose sum is σ = 2112721920. Its totient is φ = 1902297600.

The previous prime is 2006104301. The next prime is 2006104351. The reversal of 2006104319 is 9134016002.

It is a cyclic number.

It is not a de Polignac number, because 2006104319 - 2⁸ = 2006104063 is a prime.

It is a super-2 number, since 2×2006104319² = 8048909077420907522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006104019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369287 + ... + 374679.

It is an arithmetic number, because the mean of its divisors is an integer number (132045120).

Almost surely, 2^2006104319 is an apocalyptic number.

2006104319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2006104319 is a deficient number, since it is larger than the sum of its proper divisors (106617601).

2006104319 is a wasteful number, since it uses less digits than its factorization.

2006104319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2006104319 is about 44789.5559142977. Note that the first 3 decimals coincide. The cubic root of 2006104319 is about 1261.2015746558.

The spelling of 2006104319 in words is "two billion, six million, one hundred four thousand, three hundred nineteen".