900090090010 has 16 divisors (see below), whose sum is σ = 1620413505000. Its totient is φ = 359980182016.

The previous prime is 900090089959. The next prime is 900090090017. The reversal of 900090090010 is 10090090009.

It can be written as a sum of positive squares in 4 ways, for example, as 900086715441 + 3374569 = 948729^2 + 1837^2 .

It is not an unprimeable number, because it can be changed into a prime (900090090017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6914035 + ... + 7043014.

Almost surely, 2^900090090010 is an apocalyptic number.

900090090010 is a deficient number, since it is larger than the sum of its proper divisors (720323414990).

900090090010 is a wasteful number, since it uses less digits than its factorization.

900090090010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13963505.

The product of its (nonzero) digits is 729, while the sum is 28.

The spelling of 900090090010 in words is "nine hundred billion, ninety million, ninety thousand, ten".