10035090 has 80 divisors (see below), whose sum is σ = 29089368. Its totient is φ = 2467584.

The previous prime is 10035089. The next prime is 10035121. The reversal of 10035090 is 9053001.

10035090 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 5861241 + 4173849 = 2421^2 + 2043^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10054 + ... + 11006.

Almost surely, 2^10035090 is an apocalyptic number.

10035090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10035090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544684).

10035090 is an abundant number, since it is smaller than the sum of its proper divisors (19054278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10035090 is a wasteful number, since it uses less digits than its factorization.

10035090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10035090 is about 3167.8210176713. The cubic root of 10035090 is about 215.6951718682.

Adding to 10035090 its reverse (9053001), we get a palindrome (19088091).

The spelling of 10035090 in words is "ten million, thirty-five thousand, ninety".