128107600 has 30 divisors (see below), whose sum is σ = 307779470. Its totient is φ = 51242880.

The previous prime is 128107559. The next prime is 128107601. The reversal of 128107600 is 6701821.

It can be written as a sum of positive squares in 3 ways, for example, as 327184 + 127780416 = 572^2 + 11304^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128107601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159735 + ... + 160534.

Almost surely, 2^128107600 is an apocalyptic number.

128107600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128107600 is an abundant number, since it is smaller than the sum of its proper divisors (179671870).

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

128107600 is a wasteful number, since it uses less digits than its factorization.

128107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320287 (or 320276 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 128107600 is about 11318.4627931535. The cubic root of 128107600 is about 504.1095965575.

The spelling of 128107600 in words is "one hundred twenty-eight million, one hundred seven thousand, six hundred".