90102 has 8 divisors (see below), whose sum is σ = 180216. Its totient is φ = 30032.

The previous prime is 90089. The next prime is 90107. The reversal of 90102 is 20109.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

90102 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90107) by changing a digit.

90102 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 7503 + ... + 7514.

It is an arithmetic number, because the mean of its divisors is an integer number (22527).

2⁹⁰¹⁰² is an apocalyptic number.

90102 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90108).

90102 is a wasteful number, since it uses less digits than its factorization.

90102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 90102 is about 300.1699518606. The cubic root of 90102 is about 44.8309708252.

It can be divided in two parts, 90 and 102, that multiplied together give a triangular number (9180 = T₁₃₅).

The spelling of 90102 in words is "ninety thousand, one hundred two".