105285004 has 54 divisors (see below), whose sum is σ = 215191340. Its totient is φ = 44914320.

The previous prime is 105285001. The next prime is 105285041. The reversal of 105285004 is 400582501.

It is a super-2 number, since 2×105285004² = 22169864134560032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105285004.

It is not an unprimeable number, because it can be changed into a prime (105285001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 983919 + ... + 984025.

Almost surely, 2^105285004 is an apocalyptic number.

It is an amenable number.

105285004 is an abundant number, since it is smaller than the sum of its proper divisors (109906336).

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

105285004 is a wasteful number, since it uses less digits than its factorization.

105285004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 105285004 is about 10260.8481130947. The cubic root of 105285004 is about 472.1958573844.

The spelling of 105285004 in words is "one hundred five million, two hundred eighty-five thousand, four".