10152128 has 112 divisors (see below), whose sum is σ = 25749504. Its totient is φ = 3870720.

The previous prime is 10152089. The next prime is 10152139. The reversal of 10152128 is 82125101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236075 + ... + 236117.

Almost surely, 2^10152128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874752).

10152128 is an abundant number, since it is smaller than the sum of its proper divisors (15597376).

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

10152128 is a wasteful number, since it uses less digits than its factorization.

10152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 10152128 is about 3186.2404177965. The cubic root of 10152128 is about 216.5304748316.

Adding to 10152128 its reverse (82125101), we get a palindrome (92277229).

The spelling of 10152128 in words is "ten million, one hundred fifty-two thousand, one hundred twenty-eight".