10728107 has 16 divisors (see below), whose sum is σ = 11938080. Its totient is φ = 9580032.

The previous prime is 10728083. The next prime is 10728127. The reversal of 10728107 is 70182701.

It is a cyclic number.

It is not a de Polignac number, because 10728107 - 2⁶ = 10728043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10728127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94883 + ... + 94995.

It is an arithmetic number, because the mean of its divisors is an integer number (746130).

Almost surely, 2^10728107 is an apocalyptic number.

10728107 is a deficient number, since it is larger than the sum of its proper divisors (1209973).

10728107 is a wasteful number, since it uses less digits than its factorization.

10728107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 10728107 is about 3275.3789093783. The cubic root of 10728107 is about 220.5503233369.

It can be divided in two parts, 1072 and 8107, that multiplied together give a square (8690704 = 2948²).

The spelling of 10728107 in words is "ten million, seven hundred twenty-eight thousand, one hundred seven".