10085090 has 32 divisors (see below), whose sum is σ = 18903024. Its totient is φ = 3870720.

The previous prime is 10085087. The next prime is 10085093. The reversal of 10085090 is 9058001.

10085090 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 (10085087) and next prime (10085093).

It can be written as a sum of positive squares in 8 ways, for example, as 7198489 + 2886601 = 2683^2 + 1699^2 .

It is not an unprimeable number, because it can be changed into a prime (10085093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35750 + ... + 36030.

Almost surely, 2^10085090 is an apocalyptic number.

10085090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10085090 is a deficient number, since it is larger than the sum of its proper divisors (8817934).

10085090 is a wasteful number, since it uses less digits than its factorization.

10085090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 10085090 is about 3175.7030717622. The cubic root of 10085090 is about 216.0528134460.

The spelling of 10085090 in words is "ten million, eighty-five thousand, ninety".