8005300101 has 6 divisors (see below), whose sum is σ = 11563211270. Its totient is φ = 5336866728.

The previous prime is 8005300087. The next prime is 8005300109. The reversal of 8005300101 is 1010035008.

It is a happy number.

8005300101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7077183876 + 928116225 = 84126^2 + 30465^2 .

It is not a de Polignac number, because 8005300101 - 2¹¹ = 8005298053 is a prime.

It is a super-2 number, since 2×8005300101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005300109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444738886 + ... + 444738903.

Almost surely, 2^8005300101 is an apocalyptic number.

It is an amenable number.

8005300101 is a deficient number, since it is larger than the sum of its proper divisors (3557911169).

8005300101 is a wasteful number, since it uses less digits than its factorization.

8005300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889477795 (or 889477792 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 8005300101 is about 89472.3426596174. The cubic root of 8005300101 is about 2000.4415775808.

Adding to 8005300101 its reverse (1010035008), we get a palindrome (9015335109).

The spelling of 8005300101 in words is "eight billion, five million, three hundred thousand, one hundred one".