103626 has 32 divisors (see below), whose sum is σ = 244800. Its totient is φ = 32400.

The previous prime is 103619. The next prime is 103643. The reversal of 103626 is 626301.

It is a happy number.

It is a super-3 number, since 3×103626³ = 3338316110995128, which contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103599 and 103608.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103626.

It is an unprimeable number.

103626 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 15 ways as a sum of consecutive naturals, for example, 976 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2¹⁰³⁶²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

103626 is an abundant number, since it is smaller than the sum of its proper divisors (141174).

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

103626 is a wasteful number, since it uses less digits than its factorization.

103626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

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

The square root of 103626 is about 321.9099252897. The cubic root of 103626 is about 46.9702543034.

Adding to 103626 its reverse (626301), we get a palindrome (729927).

It can be divided in two parts, 103 and 626, that added together give a 6-th power (729 = 3⁶).

The spelling of 103626 in words is "one hundred three thousand, six hundred twenty-six".