103853985 has 16 divisors (see below), whose sum is σ = 166297536. Its totient is φ = 55345088.

The previous prime is 103853941. The next prime is 103854013. The reversal of 103853985 is 589358301.

It is a cyclic number.

It is not a de Polignac number, because 103853985 - 2¹⁰ = 103852961 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28222 + ... + 31688.

It is an arithmetic number, because the mean of its divisors is an integer number (10393596).

Almost surely, 2^103853985 is an apocalyptic number.

103853985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103853985 is a deficient number, since it is larger than the sum of its proper divisors (62443551).

103853985 is a wasteful number, since it uses less digits than its factorization.

103853985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472.

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 103853985 is about 10190.8775382692. The cubic root of 103853985 is about 470.0467510459.

It can be divided in two parts, 10385398 and 5, that added together give a triangular number (10385403 = T₄₅₅₇).

The spelling of 103853985 in words is "one hundred three million, eight hundred fifty-three thousand, nine hundred eighty-five".