10105728 has 32 divisors (see below), whose sum is σ = 26844360. Its totient is φ = 3368448.

The previous prime is 10105727. The next prime is 10105741. The reversal of 10105728 is 82750101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 = 10105698 and 10105707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12775 + ... + 13542.

Almost surely, 2^10105728 is an apocalyptic number.

It is an amenable number.

10105728 is an abundant number, since it is smaller than the sum of its proper divisors (16738632).

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

10105728 is an equidigital number, since it uses as much as digits as its factorization.

10105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26334 (or 26322 counting only the distinct ones).

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

The square root of 10105728 is about 3178.9507703014. The cubic root of 10105728 is about 216.2000889413.

Adding to 10105728 its reverse (82750101), we get a palindrome (92855829).

The spelling of 10105728 in words is "ten million, one hundred five thousand, seven hundred twenty-eight".