105002704 has 30 divisors (see below), whose sum is σ = 210247890. Its totient is φ = 50800320.

The previous prime is 105002701. The next prime is 105002741. The reversal of 105002704 is 407200501.

It can be written as a sum of positive squares in only one way, i.e., 91164304 + 13838400 = 9548^2 + 3720^2 .

It is a super-2 number, since 2×105002704² = 22051135694623232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105002701) 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 5 ways as a sum of consecutive naturals, for example, 11962 + ... + 18790.

It is an arithmetic number, because the mean of its divisors is an integer number (7008263).

Almost surely, 2^105002704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105002704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105123945).

105002704 is an abundant number, since it is smaller than the sum of its proper divisors (105245186).

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

105002704 is an equidigital number, since it uses as much as digits as its factorization.

105002704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 105002704 is about 10247.0827068000. The cubic root of 105002704 is about 471.7734477253.

The spelling of 105002704 in words is "one hundred five million, two thousand, seven hundred four".