10192 has 30 divisors (see below), whose sum is σ = 24738. Its totient is φ = 4032.

The previous prime is 10181. The next prime is 10193. The reversal of 10192 is 29101.

10192 is nontrivially palindromic in base 3.

10192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 3136 = 84^2 + 56^2 .

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10193) by changing a digit.

10192 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 778 + ... + 790.

10192 is a Friedman number, since it can be written as 101^2-9, using all its digits and the basic arithmetic operations.

2¹⁰¹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369).

10192 is an abundant number, since it is smaller than the sum of its proper divisors (14546).

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

10192 is a wasteful number, since it uses less digits than its factorization.

10192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 10192 is about 100.9554357130. The cubic root of 10192 is about 21.6813575581.

Multiplying 10192 by its sum of digits (13), we get a square (132496 = 364²).

10192 divided by its sum of digits (13) gives a square (784 = 28²).

Adding to 10192 its reverse (29101), we get a palindrome (39293).

It can be divided in two parts, 10 and 192, that added together give a palindrome (202).

The spelling of 10192 in words is "ten thousand, one hundred ninety-two".