90100100009 has 16 divisors (see below), whose sum is σ = 95196271104. Its totient is φ = 85141929600.

The previous prime is 90100099951. The next prime is 90100100017. The reversal of 90100100009 is 90000100109.

It is a cyclic number.

It is not a de Polignac number, because 90100100009 - 2²⁰ = 90099051433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90100100039) 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, 6301949 + ... + 6316229.

It is an arithmetic number, because the mean of its divisors is an integer number (5949766944).

Almost surely, 2^90100100009 is an apocalyptic number.

It is an amenable number.

90100100009 is a deficient number, since it is larger than the sum of its proper divisors (5096171095).

90100100009 is a wasteful number, since it uses less digits than its factorization.

90100100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19088.

The product of its (nonzero) digits is 81, while the sum is 20.

The spelling of 90100100009 in words is "ninety billion, one hundred million, one hundred thousand, nine".