10092 has 18 divisors (see below), whose sum is σ = 24388. Its totient is φ = 3248.

The previous prime is 10091. The next prime is 10093. The reversal of 10092 is 29001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10091) and next prime (10093).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 334 + ... + 362.

2¹⁰⁰⁹² is an apocalyptic number.

10092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194).

10092 is an abundant number, since it is smaller than the sum of its proper divisors (14296).

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

10092 is a wasteful number, since it uses less digits than its factorization.

10092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

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

The square root of 10092 is about 100.4589468390. The cubic root of 10092 is about 21.6102146475.

Multiplying 10092 by its sum of digits (12), we get a square (121104 = 348²).

10092 divided by its sum of digits (12) gives a square (841 = 29²).

Adding to 10092 its reverse (29001), we get a palindrome (39093).

The spelling of 10092 in words is "ten thousand, ninety-two".