103362 has 32 divisors (see below), whose sum is σ = 248832. Its totient is φ = 27984.

The previous prime is 103357. The next prime is 103387. The reversal of 103362 is 263301.

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 103362.

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, 913 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2¹⁰³³⁶² is an apocalyptic number.

It is a pronic number, being equal to 321×322.

It is a practical number, because each smaller number is the sum of distinct divisors of 103362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416).

103362 is an abundant number, since it is smaller than the sum of its proper divisors (145470).

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

103362 is a wasteful number, since it uses less digits than its factorization.

103362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103362 is about 321.4996111973. The cubic root of 103362 is about 46.9303328797.

Adding to 103362 its reverse (263301), we get a palindrome (366663).

It can be divided in two parts, 1033 and 62, that multiplied together give a palindrome (64046).

The spelling of 103362 in words is "one hundred three thousand, three hundred sixty-two".