10306128 has 80 divisors (see below), whose sum is σ = 31287680. Its totient is φ = 2861568.

The previous prime is 10306081. The next prime is 10306157. The reversal of 10306128 is 82160301.

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

It is a congruent number.

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, 12018 + ... + 12846.

It is an arithmetic number, because the mean of its divisors is an integer number (391096).

Almost surely, 2^10306128 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 10306128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643840).

10306128 is an abundant number, since it is smaller than the sum of its proper divisors (20981552).

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

10306128 is a wasteful number, since it uses less digits than its factorization.

10306128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10306128 is about 3210.3158723091. The cubic root of 10306128 is about 217.6198520311.

Adding to 10306128 its reverse (82160301), we get a palindrome (92466429).

The spelling of 10306128 in words is "ten million, three hundred six thousand, one hundred twenty-eight".