103656 has 32 divisors (see below), whose sum is σ = 296640. Its totient is φ = 29568.

The previous prime is 103651. The next prime is 103657. The reversal of 103656 is 656301.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103656.

It is not an unprimeable number, because it can be changed into a prime (103651) by changing a digit.

103656 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 7 ways as a sum of consecutive naturals, for example, 141 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (9270).

2¹⁰³⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

103656 is an abundant number, since it is smaller than the sum of its proper divisors (192984).

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

103656 is a wasteful number, since it uses less digits than its factorization.

103656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 103656 is about 321.9565188034. The cubic root of 103656 is about 46.9747865368.

Adding to 103656 its product of nonzero digits (540), we get a triangular number (104196 = T₄₅₆).

Adding to 103656 its reverse (656301), we get a palindrome (759957).

The spelling of 103656 in words is "one hundred three thousand, six hundred fifty-six".