10128216 has 96 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 2725056.

The previous prime is 10128199. The next prime is 10128229. The reversal of 10128216 is 61282101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10128192 and 10128201.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60565 + ... + 60731.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 2^10128216 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 10128216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

10128216 is an abundant number, since it is smaller than the sum of its proper divisors (20595624).

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

10128216 is a wasteful number, since it uses less digits than its factorization.

10128216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10128216 is about 3182.4858208639. The cubic root of 10128216 is about 216.3603381813.

The spelling of 10128216 in words is "ten million, one hundred twenty-eight thousand, two hundred sixteen".