103660656 has 80 divisors (see below), whose sum is σ = 307539840. Its totient is φ = 29756160.

The previous prime is 103660651. The next prime is 103660673. The reversal of 103660656 is 656066301.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103660651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866 + ... + 15198.

It is an arithmetic number, because the mean of its divisors is an integer number (3844248).

Almost surely, 2^103660656 is an apocalyptic number.

103660656 is a gapful number since it is divisible by the number (16) 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 103660656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153769920).

103660656 is an abundant number, since it is smaller than the sum of its proper divisors (203879184).

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

103660656 is a wasteful number, since it uses less digits than its factorization.

103660656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10374 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 103660656 is about 10181.3877246670. The cubic root of 103660656 is about 469.7548986108.

The spelling of 103660656 in words is "one hundred three million, six hundred sixty thousand, six hundred fifty-six".