128585100 has 72 divisors (see below), whose sum is σ = 425195008. Its totient is φ = 29390400.

The previous prime is 128585099. The next prime is 128585129. The reversal of 128585100 is 1585821.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28516 + ... + 32715.

Almost surely, 2^128585100 is an apocalyptic number.

128585100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128585100 is an abundant number, since it is smaller than the sum of its proper divisors (296609908).

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

128585100 is a wasteful number, since it uses less digits than its factorization.

128585100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61255 (or 61248 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 128585100 is about 11339.5370275863. The cubic root of 128585100 is about 504.7351485108.

The spelling of 128585100 in words is "one hundred twenty-eight million, five hundred eighty-five thousand, one hundred".