103807656 has 96 divisors (see below), whose sum is σ = 296281440. Its totient is φ = 34043328.

The previous prime is 103807651. The next prime is 103807667. The reversal of 103807656 is 656708301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103807656.

It is not an unprimeable number, because it can be changed into a prime (103807651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129850 + ... + 130646.

It is an arithmetic number, because the mean of its divisors is an integer number (3086265).

Almost surely, 2^103807656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103807656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148140720).

103807656 is an abundant number, since it is smaller than the sum of its proper divisors (192473784).

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

103807656 is an equidigital number, since it uses as much as digits as its factorization.

103807656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 103807656 is about 10188.6042223653. The cubic root of 103807656 is about 469.9768450944.

The spelling of 103807656 in words is "one hundred three million, eight hundred seven thousand, six hundred fifty-six".