102090 has 32 divisors (see below), whose sum is σ = 254016. Its totient is φ = 26240.

The previous prime is 102079. The next prime is 102101. The reversal of 102090 is 90201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102079) and next prime (102101).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2¹⁰²⁰⁹⁰ is an apocalyptic number.

102090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

102090 is an abundant number, since it is smaller than the sum of its proper divisors (151926).

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

102090 is a wasteful number, since it uses less digits than its factorization.

102090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

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

The square root of 102090 is about 319.5152578516. The cubic root of 102090 is about 46.7370253870.

Adding to 102090 its reverse (90201), we get a palindrome (192291).

The spelling of 102090 in words is "one hundred two thousand, ninety".