10005705 has 12 divisors (see below), whose sum is σ = 17343300. Its totient is φ = 5336352.

The previous prime is 10005703. The next prime is 10005727. The reversal of 10005705 is 50750001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 5745609 = 2064^2 + 2397^2 .

It is not a de Polignac number, because 10005705 - 2¹ = 10005703 is a prime.

It is a super-2 number, since 2×10005705² = 200228265094050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005703) 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 11 ways as a sum of consecutive naturals, for example, 111130 + ... + 111219.

It is an arithmetic number, because the mean of its divisors is an integer number (1445275).

Almost surely, 2^10005705 is an apocalyptic number.

10005705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005705 is a deficient number, since it is larger than the sum of its proper divisors (7337595).

10005705 is a wasteful number, since it uses less digits than its factorization.

10005705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222360 (or 222357 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 10005705 is about 3163.1795712542. The cubic root of 10005705 is about 215.4844313809.

Adding to 10005705 its reverse (50750001), we get a palindrome (60755706).

The spelling of 10005705 in words is "ten million, five thousand, seven hundred five".