90009101 has 32 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 66124800.

The previous prime is 90009053. The next prime is 90009119. The reversal of 90009101 is 10190009.

It is not a de Polignac number, because 90009101 - 2⁶ = 90009037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90009001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128051 + ... + 128751.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^90009101 is an apocalyptic number.

90009101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90009101 is a deficient number, since it is larger than the sum of its proper divisors (28870387).

90009101 is a wasteful number, since it uses less digits than its factorization.

90009101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

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

The square root of 90009101 is about 9487.3126331960. The cubic root of 90009101 is about 448.1555798001.

It can be divided in two parts, 90009 and 101, that multiplied together give a palindrome (9090909).

The spelling of 90009101 in words is "ninety million, nine thousand, one hundred one".