105028825 has 24 divisors (see below), whose sum is σ = 142535520. Its totient is φ = 76137600.

The previous prime is 105028813. The next prime is 105028831. The reversal of 105028825 is 528820501.

It is not a de Polignac number, because 105028825 - 2⁵ = 105028793 is a prime.

It is a super-2 number, since 2×105028825² = 22062108161761250, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169366 + ... + 169984.

It is an arithmetic number, because the mean of its divisors is an integer number (5938980).

Almost surely, 2^105028825 is an apocalyptic number.

It is an amenable number.

105028825 is a deficient number, since it is larger than the sum of its proper divisors (37506695).

105028825 is a wasteful number, since it uses less digits than its factorization.

105028825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 105028825 is about 10248.3571854225. The cubic root of 105028825 is about 471.8125647259.

The spelling of 105028825 in words is "one hundred five million, twenty-eight thousand, eight hundred twenty-five".