828132105 has 16 divisors (see below), whose sum is σ = 1327567104. Its totient is φ = 440818560.

The previous prime is 828132103. The next prime is 828132161. The reversal of 828132105 is 501231828.

It is not a de Polignac number, because 828132105 - 2¹ = 828132103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828132103) 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, 45169 + ... + 60798.

It is an arithmetic number, because the mean of its divisors is an integer number (82972944).

Almost surely, 2^828132105 is an apocalyptic number.

It is an amenable number.

828132105 is a deficient number, since it is larger than the sum of its proper divisors (499434999).

828132105 is a wasteful number, since it uses less digits than its factorization.

828132105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106496.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 828132105 is about 28777.2845313800. The cubic root of 828132105 is about 939.0741241738.

The spelling of 828132105 in words is "eight hundred twenty-eight million, one hundred thirty-two thousand, one hundred five".