90900900909 has 96 divisors (see below), whose sum is σ = 171005313024. Its totient is φ = 45216420480.

The previous prime is 90900900899. The next prime is 90900900913.

90900900909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90900900909 - 2¹¹ = 90900898861 is a prime.

It is a super-3 number, since 3×90900900909³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90900900949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1303444 + ... + 1371410.

It is an arithmetic number, because the mean of its divisors is an integer number (1781305344).

Almost surely, 2^90900900909 is an apocalyptic number.

It is an amenable number.

90900900909 is a deficient number, since it is larger than the sum of its proper divisors (80104412115).

90900900909 is a wasteful number, since it uses less digits than its factorization.

90900900909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68087 (or 68084 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The spelling of 90900900909 in words is "ninety billion, nine hundred million, nine hundred thousand, nine hundred nine".