10075128 has 32 divisors (see below), whose sum is σ = 28786560. Its totient is φ = 2878560.

The previous prime is 10075123. The next prime is 10075129. The reversal of 10075128 is 82157001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10075098 and 10075107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29818 + ... + 30153.

It is an arithmetic number, because the mean of its divisors is an integer number (899580).

Almost surely, 2^10075128 is an apocalyptic number.

It is an amenable number.

10075128 is an abundant number, since it is smaller than the sum of its proper divisors (18711432).

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

10075128 is a wasteful number, since it uses less digits than its factorization.

10075128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59987 (or 59983 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10075128 is about 3174.1342126634. The cubic root of 10075128 is about 215.9816513906.

The spelling of 10075128 in words is "ten million, seventy-five thousand, one hundred twenty-eight".