103885056 has 108 divisors (see below), whose sum is σ = 326835600. Its totient is φ = 31472640.

The previous prime is 103885051. The next prime is 103885057. The reversal of 103885056 is 650588301.

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 103885056.

It is not an unprimeable number, because it can be changed into a prime (103885051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23295 + ... + 27393.

Almost surely, 2^103885056 is an apocalyptic number.

103885056 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 103885056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163417800).

103885056 is an abundant number, since it is smaller than the sum of its proper divisors (222950544).

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

103885056 is a wasteful number, since it uses less digits than its factorization.

103885056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 103885056 is about 10192.4018759074. The cubic root of 103885056 is about 470.0936225144.

The spelling of 103885056 in words is "one hundred three million, eight hundred eighty-five thousand, fifty-six".