103628 has 12 divisors (see below), whose sum is σ = 207312. Its totient is φ = 44400.

The previous prime is 103619. The next prime is 103643. The reversal of 103628 is 826301.

103628 is an admirable number.

It is a super-3 number, since 3×103628³ = 3338509404987456, which contains 333 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103628.

It is an unprimeable number.

103628 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 3 ways as a sum of consecutive naturals, for example, 1823 + ... + 1878.

It is an arithmetic number, because the mean of its divisors is an integer number (17276).

2¹⁰³⁶²⁸ is an apocalyptic number.

It is an amenable number.

103628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

103628 is a wasteful number, since it uses less digits than its factorization.

103628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 103628 is about 321.9130317337. The cubic root of 103628 is about 46.9705564795.

Adding to 103628 its reverse (826301), we get a palindrome (929929).

The spelling of 103628 in words is "one hundred three thousand, six hundred twenty-eight".