103985856 has 140 divisors (see below), whose sum is σ = 332173072. Its totient is φ = 31974912.

The previous prime is 103985839. The next prime is 103985887. The reversal of 103985856 is 658589301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66621 + ... + 68163.

Almost surely, 2^103985856 is an apocalyptic number.

103985856 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 103985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166086536).

103985856 is an abundant number, since it is smaller than the sum of its proper divisors (228187216).

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

103985856 is a wasteful number, since it uses less digits than its factorization.

103985856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 103985856 is about 10197.3455369523. The cubic root of 103985856 is about 470.2456178098.

The spelling of 103985856 in words is "one hundred three million, nine hundred eighty-five thousand, eight hundred fifty-six".