305377812100 has 81 divisors (see below), whose sum is σ = 672760590957. Its totient is φ = 120318670080.

The previous prime is 305377812059. The next prime is 305377812109. The reversal of 305377812100 is 1218773503.

The square root of 305377812100 is 552610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 139005191556 + 166372620544 = 372834^2 + 407888^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 305377812100.

It is not an unprimeable number, because it can be changed into a prime (305377812109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 403404922 + ... + 403405678.

Almost surely, 2^305377812100 is an apocalyptic number.

305377812100 is the 552610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305377812100

305377812100 is an abundant number, since it is smaller than the sum of its proper divisors (367382778857).

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

305377812100 is an frugal number, since it uses more digits than its factorization.

305377812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 305377812100 in words is "three hundred five billion, three hundred seventy-seven million, eight hundred twelve thousand, one hundred".