100302013305 has 24 divisors (see below), whose sum is σ = 187230425928. Its totient is φ = 49379452416.

The previous prime is 100302013303. The next prime is 100302013333. The reversal of 100302013305 is 503310203001.

100302013305 is a `hidden beast` number, since 100 + 30 + 201 + 330 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10199384064 + 90102629241 = 100992^2 + 300171^2 .

It is not a de Polignac number, because 100302013305 - 2¹ = 100302013303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100302013303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85727632 + ... + 85728801.

It is an arithmetic number, because the mean of its divisors is an integer number (7801267747).

Almost surely, 2^100302013305 is an apocalyptic number.

100302013305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100302013305 is a deficient number, since it is larger than the sum of its proper divisors (86928412623).

100302013305 is a wasteful number, since it uses less digits than its factorization.

100302013305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171456457 (or 171456454 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 100302013305 its reverse (503310203001), we get a palindrome (603612216306).

The spelling of 100302013305 in words is "one hundred billion, three hundred two million, thirteen thousand, three hundred five".