103392 has 36 divisors (see below), whose sum is σ = 294840. Its totient is φ = 34368.

The previous prime is 103391. The next prime is 103393. The reversal of 103392 is 293301.

It is an interprime number because it is at equal distance from previous prime (103391) and next prime (103393).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103392.

It is not an unprimeable number, because it can be changed into a prime (103391) 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, 109 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2¹⁰³³⁹² is an apocalyptic number.

103392 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 103392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

103392 is an abundant number, since it is smaller than the sum of its proper divisors (191448).

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

103392 is a wasteful number, since it uses less digits than its factorization.

103392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 103392 is about 321.5462641674. The cubic root of 103392 is about 46.9348728260.

Adding to 103392 its reverse (293301), we get a palindrome (396693).

The spelling of 103392 in words is "one hundred three thousand, three hundred ninety-two".