100385000577 has 24 divisors (see below), whose sum is σ = 152670117600. Its totient is φ = 63385288128.

The previous prime is 100385000549. The next prime is 100385000621. The reversal of 100385000577 is 775000583001.

100385000577 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 85 + 0 + 0 + 0 + 577 = 666.

It is not a de Polignac number, because 100385000577 - 2¹⁹ = 100384476289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100385000977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636853 + ... + 778685.

It is an arithmetic number, because the mean of its divisors is an integer number (6361254900).

Almost surely, 2^100385000577 is an apocalyptic number.

It is an amenable number.

100385000577 is a deficient number, since it is larger than the sum of its proper divisors (52285117023).

100385000577 is a wasteful number, since it uses less digits than its factorization.

100385000577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145997 (or 145994 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 100385000577 its reverse (775000583001), we get a palindrome (875385583578).

The spelling of 100385000577 in words is "one hundred billion, three hundred eighty-five million, five hundred seventy-seven", and thus it is an aban number.