103629 has 4 divisors (see below), whose sum is σ = 138176. Its totient is φ = 69084.

The previous prime is 103619. The next prime is 103643. The reversal of 103629 is 926301.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 103629 - 2⁴ = 103613 is a prime.

It is a super-3 number, since 3×103629³ = 3338606054781567, which contains 333 as substring.

It is a D-number.

It is a Duffinian number.

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 103629.

It is not an unprimeable number, because it can be changed into a prime (103619) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17269 + ... + 17274.

It is an arithmetic number, because the mean of its divisors is an integer number (34544).

2¹⁰³⁶²⁹ is an apocalyptic number.

It is an amenable number.

103629 is a deficient number, since it is larger than the sum of its proper divisors (34547).

103629 is an equidigital number, since it uses as much as digits as its factorization.

103629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34546.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 103629 is about 321.9145849445. The cubic root of 103629 is about 46.9707075661.

The spelling of 103629 in words is "one hundred three thousand, six hundred twenty-nine".