10000845 has 36 divisors (see below), whose sum is σ = 18438420. Its totient is φ = 5013504.

The previous prime is 10000831. The next prime is 10000849. The reversal of 10000845 is 54800001.

10000845 = T₁₀₅ + T₁₀₆ + ... + T₃₉₃.

10000845 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 6 ways, for example, as 285156 + 9715689 = 534^2 + 3117^2 .

It is not a de Polignac number, because 10000845 - 2⁵ = 10000813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12621 + ... + 13389.

Almost surely, 2^10000845 is an apocalyptic number.

10000845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10000845 is a deficient number, since it is larger than the sum of its proper divisors (8437575).

10000845 is a wasteful number, since it uses less digits than its factorization.

10000845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10000845 is about 3162.4112635772. The cubic root of 10000845 is about 215.4495371566.

Adding to 10000845 its reverse (54800001), we get a palindrome (64800846).

The spelling of 10000845 in words is "ten million, eight hundred forty-five", and thus it is an aban number.