385877016100 has 27 divisors (see below), whose sum is σ = 837366604977. Its totient is φ = 154348321680.

The previous prime is 385877016097. The next prime is 385877016137. The reversal of 385877016100 is 1610778583.

The square root of 385877016100 is 621190.

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

It can be written as a sum of positive squares in only one way, i.e., 138915725796 + 246961290304 = 372714^2 + 496952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6180841 + ... + 6242959.

Almost surely, 2^385877016100 is an apocalyptic number.

385877016100 is the 621190-th square number.

It is an amenable number.

385877016100 is an abundant number, since it is smaller than the sum of its proper divisors (451489588877).

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

385877016100 is an frugal number, since it uses more digits than its factorization.

385877016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124252 (or 62126 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 385877016100 in words is "three hundred eighty-five billion, eight hundred seventy-seven million, sixteen thousand, one hundred".