305301100104 has 1344 divisors, whose sum is σ = 1215796538880. Its totient is φ = 70543872000.

The previous prime is 305301100099. The next prime is 305301100127. The reversal of 305301100104 is 401001103503.

305301100104 is a `hidden beast` number, since 30 + 530 + 1 + 1 + 0 + 0 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1266809424 + ... + 1266809664.

It is an arithmetic number, because the mean of its divisors is an integer number (904610520).

Almost surely, 2^305301100104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305301100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607898269440).

305301100104 is an abundant number, since it is smaller than the sum of its proper divisors (910495438776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305301100104 is a wasteful number, since it uses less digits than its factorization.

305301100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 305301100104 its reverse (401001103503), we get a palindrome (706302203607).

The spelling of 305301100104 in words is "three hundred five billion, three hundred one million, one hundred thousand, one hundred four".