90101 has 4 divisors (see below), whose sum is σ = 98304. Its totient is φ = 81900.
The previous prime is 90089. The next prime is 90107. The reversal of 90101 is 10109.
90101 is nontrivially palindromic in base 2.
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10109 = 11 ⋅919.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-90101 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (11), and also a Moran number because the ratio is a prime number: 8191 = 90101 / (9 + 0 + 1 + 0 + 1).
It is an alternating number because its digits alternate between odd and even.
It is a pancake number, because a pancake can be divided into 90101 parts by 424 straight cuts.
It is a Duffinian number.
90101 is a modest number, since divided by 101 gives 9 as remainder.
It is a zygodrome in base 4.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4085 + ... + 4106.
It is an arithmetic number, because the mean of its divisors is an integer number (24576).
290101 is an apocalyptic number.
It is an amenable number.
90101 is a deficient number, since it is larger than the sum of its proper divisors (8203).
90101 is a wasteful number, since it uses less digits than its factorization.
90101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8202.
The product of its (nonzero) digits is 9, while the sum is 11.
The square root of 90101 is about 300.1682861330. The cubic root of 90101 is about 44.8308049719.
It can be divided in two parts, 90 and 101, that added together give a palindrome (191).
The spelling of 90101 in words is "ninety thousand, one hundred one".
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