305827430100 has 144 divisors (see below), whose sum is σ = 891917455296. Its totient is φ = 80906112000.

The previous prime is 305827430087. The next prime is 305827430119. The reversal of 305827430100 is 1034728503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20058480 + ... + 20073720.

Almost surely, 2^305827430100 is an apocalyptic number.

305827430100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305827430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445958727648).

305827430100 is an abundant number, since it is smaller than the sum of its proper divisors (586090025196).

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

305827430100 is a wasteful number, since it uses less digits than its factorization.

305827430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15786 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 305827430100 in words is "three hundred five billion, eight hundred twenty-seven million, four hundred thirty thousand, one hundred".