90909100001 has 16 divisors (see below), whose sum is σ = 93341805648. Its totient is φ = 88515763200.

The previous prime is 90909099973. The next prime is 90909100039. The reversal of 90909100001 is 10000190909.

It can be written as a sum of positive squares in 8 ways, for example, as 18009640000 + 72899460001 = 134200^2 + 269999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90909100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90909100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785071 + ... + 1835291.

It is an arithmetic number, because the mean of its divisors is an integer number (5833862853).

Almost surely, 2^90909100001 is an apocalyptic number.

It is an amenable number.

90909100001 is a deficient number, since it is larger than the sum of its proper divisors (2432705647).

90909100001 is a wasteful number, since it uses less digits than its factorization.

90909100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50612.

The product of its (nonzero) digits is 729, while the sum is 29.

It can be divided in two parts, 90909 and 100001, that multiplied together give a palindrome (9090990909).

The spelling of 90909100001 in words is "ninety billion, nine hundred nine million, one hundred thousand, one".