10500985 has 24 divisors (see below), whose sum is σ = 14680008. Its totient is φ = 7180800.

The previous prime is 10500983. The next prime is 10500991. The reversal of 10500985 is 58900501.

10500985 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 2509056 + 7991929 = 1584^2 + 2827^2 .

It is not a de Polignac number, because 10500985 - 2¹ = 10500983 is a prime.

It is a super-2 number, since 2×10500985² = 220541371940450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10500983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9775 + ... + 10795.

It is an arithmetic number, because the mean of its divisors is an integer number (611667).

Almost surely, 2^10500985 is an apocalyptic number.

It is an amenable number.

10500985 is a deficient number, since it is larger than the sum of its proper divisors (4179023).

10500985 is a wasteful number, since it uses less digits than its factorization.

10500985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 10500985 is about 3240.5223344393. The cubic root of 10500985 is about 218.9828041237.

The spelling of 10500985 in words is "ten million, five hundred thousand, nine hundred eighty-five".