103662 has 24 divisors (see below), whose sum is σ = 242424. Its totient is φ = 31824.

The previous prime is 103657. The next prime is 103669. The reversal of 103662 is 266301.

It is a happy number.

103662 is a `hidden beast` number, since 1 + 0 + 3 + 662 = 666.

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 103662.

It is not an unprimeable number, because it can be changed into a prime (103669) by changing a digit.

103662 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (10101).

2¹⁰³⁶⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121212).

103662 is an abundant number, since it is smaller than the sum of its proper divisors (138762).

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

103662 is a wasteful number, since it uses less digits than its factorization.

103662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103662 is about 321.9658366970. The cubic root of 103662 is about 46.9756928786.

Adding to 103662 its reverse (266301), we get a palindrome (369963).

It can be divided in two parts, 103 and 662, that multiplied together give a palindrome (68186).

The spelling of 103662 in words is "one hundred three thousand, six hundred sixty-two".