10000105 has 8 divisors (see below), whose sum is σ = 12293064. Its totient is φ = 7804800.

The previous prime is 10000103. The next prime is 10000121. The reversal of 10000105 is 50100001.

10000105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 660969 + 9339136 = 813^2 + 3056^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000105 - 2¹ = 10000103 is a prime.

It is a super-2 number, since 2×10000105² = 200004200022050, which contains 22 as substring.

It is a Duffinian number.

10000105 is a modest number, since divided by 105 gives 10 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10000103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24186 + ... + 24595.

It is an arithmetic number, because the mean of its divisors is an integer number (1536633).

Almost surely, 2^10000105 is an apocalyptic number.

It is an amenable number.

10000105 is a deficient number, since it is larger than the sum of its proper divisors (2292959).

10000105 is an equidigital number, since it uses as much as digits as its factorization.

10000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48827.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 10000105 is about 3162.2942620825. The cubic root of 10000105 is about 215.4442230527. Note that the first 3 decimals are identical.

Adding to 10000105 its reverse (50100001), we get a palindrome (60100106).

The spelling of 10000105 in words is "ten million, one hundred five", and thus it is an aban number.