103620 has 48 divisors (see below), whose sum is σ = 318528. Its totient is φ = 24960.

The previous prime is 103619. The next prime is 103643. The reversal of 103620 is 26301.

It is a super-3 number, since 3×103620³ = 3337736273784000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103596 and 103605.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103620.

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 15 ways as a sum of consecutive naturals, for example, 582 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2¹⁰³⁶²⁰ is an apocalyptic number.

103620 is a gapful number since it is divisible by the number (10) 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 103620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159264).

103620 is an abundant number, since it is smaller than the sum of its proper divisors (214908).

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

103620 is a wasteful number, since it uses less digits than its factorization.

103620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103620 is about 321.9006057776. The cubic root of 103620 is about 46.9693477517.

Adding to 103620 its reverse (26301), we get a palindrome (129921).

The spelling of 103620 in words is "one hundred three thousand, six hundred twenty".