10002105 has 12 divisors (see below), whose sum is σ = 17337060. Its totient is φ = 5334432.

The previous prime is 10002077. The next prime is 10002121. The reversal of 10002105 is 50120001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7338681 + 2663424 = 2709^2 + 1632^2 .

It is not a de Polignac number, because 10002105 - 2¹⁰ = 10001081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 111090 + ... + 111179.

It is an arithmetic number, because the mean of its divisors is an integer number (1444755).

Almost surely, 2^10002105 is an apocalyptic number.

10002105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002105 is a deficient number, since it is larger than the sum of its proper divisors (7334955).

10002105 is a wasteful number, since it uses less digits than its factorization.

10002105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222280 (or 222277 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10002105 is about 3162.6104723788. The cubic root of 10002105 is about 215.4585848927.

Adding to 10002105 its reverse (50120001), we get a palindrome (60122106).

The spelling of 10002105 in words is "ten million, two thousand, one hundred five".