8008004101 has 8 divisors (see below), whose sum is σ = 8166036384. Its totient is φ = 7850228880.

The previous prime is 8008004089. The next prime is 8008004107. The reversal of 8008004101 is 1014008008.

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 8008004101 - 2⁹ = 8008003589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008004107) 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, 735 + ... + 126556.

It is an arithmetic number, because the mean of its divisors is an integer number (1020754548).

Almost surely, 2^8008004101 is an apocalyptic number.

It is an amenable number.

8008004101 is a deficient number, since it is larger than the sum of its proper divisors (158032283).

8008004101 is a wasteful number, since it uses less digits than its factorization.

8008004101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128531.

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 8008004101 is about 89487.4521986183. The cubic root of 8008004101 is about 2000.6667860901. Note that the first 3 decimals are identical.

The spelling of 8008004101 in words is "eight billion, eight million, four thousand, one hundred one".