10505845 has 24 divisors (see below), whose sum is σ = 14819544. Its totient is φ = 7128576.

The previous prime is 10505837. The next prime is 10505849. The reversal of 10505845 is 54850501.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 10504081 = 42^2 + 3241^2 .

It is not a de Polignac number, because 10505845 - 2³ = 10505837 is a prime.

It is a super-2 number, since 2×10505845² = 220745558328050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505849) 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 23 ways as a sum of consecutive naturals, for example, 33409 + ... + 33721.

It is an arithmetic number, because the mean of its divisors is an integer number (617481).

Almost surely, 2^10505845 is an apocalyptic number.

It is an amenable number.

10505845 is a deficient number, since it is larger than the sum of its proper divisors (4313699).

10505845 is a wasteful number, since it uses less digits than its factorization.

10505845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 10505845 is about 3241.2721268045. The cubic root of 10505845 is about 219.0165816625.

The spelling of 10505845 in words is "ten million, five hundred five thousand, eight hundred forty-five".