103632 has 40 divisors (see below), whose sum is σ = 285696. Its totient is φ = 32256.

The previous prime is 103619. The next prime is 103643. The reversal of 103632 is 236301.

It is a super-3 number, since 3×103632³ = 3338896015355904, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

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 103632.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 753 + ... + 879.

2¹⁰³⁶³² is an apocalyptic number.

103632 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 103632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848).

103632 is an abundant number, since it is smaller than the sum of its proper divisors (182064).

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

103632 is a wasteful number, since it uses less digits than its factorization.

103632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

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

The square root of 103632 is about 321.9192445319. The cubic root of 103632 is about 46.9711608201.

Adding to 103632 its product of nonzero digits (108), we get a triangular number (103740 = T₄₅₅).

Adding to 103632 its reverse (236301), we get a palindrome (339933).

The spelling of 103632 in words is "one hundred three thousand, six hundred thirty-two".