10090561 has 8 divisors (see below), whose sum is σ = 10964520. Its totient is φ = 9230592.

The previous prime is 10090523. The next prime is 10090567. The reversal of 10090561 is 16509001.

It can be written as a sum of positive squares in 4 ways, for example, as 2002225 + 8088336 = 1415^2 + 2844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10090561 - 2¹⁵ = 10057793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10090567) 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 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 4903.

It is an arithmetic number, because the mean of its divisors is an integer number (1370565).

Almost surely, 2^10090561 is an apocalyptic number.

It is an amenable number.

10090561 is a deficient number, since it is larger than the sum of its proper divisors (873959).

10090561 is a wasteful number, since it uses less digits than its factorization.

10090561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 10090561 is about 3176.5643390305. The cubic root of 10090561 is about 216.0918747819.

Adding to 10090561 its reverse (16509001), we get a palindrome (26599562).

The spelling of 10090561 in words is "ten million, ninety thousand, five hundred sixty-one".