10001205 has 32 divisors (see below), whose sum is σ = 18558720. Its totient is φ = 5100480.

The previous prime is 10001203. The next prime is 10001207. The reversal of 10001205 is 50210001.

It is a happy number.

10001205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10001203) and next prime (10001207).

It is not a de Polignac number, because 10001205 - 2¹ = 10001203 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (579960).

Almost surely, 2^10001205 is an apocalyptic number.

10001205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001205 is a deficient number, since it is larger than the sum of its proper divisors (8557515).

10001205 is a wasteful number, since it uses less digits than its factorization.

10001205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3252 counting only the distinct ones).

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

The square root of 10001205 is about 3162.4681816581. The cubic root of 10001205 is about 215.4521223016.

Adding to 10001205 its reverse (50210001), we get a palindrome (60211206).

The spelling of 10001205 in words is "ten million, one thousand, two hundred five".