103603808 has 96 divisors (see below), whose sum is σ = 267805440. Its totient is φ = 38223360.

The previous prime is 103603807. The next prime is 103603847. The reversal of 103603808 is 808306301.

It is a super-3 number, since 3×103603808³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103603807) by changing a digit.

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, 45710 + ... + 47922.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 2^103603808 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 103603808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

103603808 is an abundant number, since it is smaller than the sum of its proper divisors (164201632).

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

103603808 is a wasteful number, since it uses less digits than its factorization.

103603808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 103603808 is about 10178.5955809237. The cubic root of 103603808 is about 469.6690109635.

The spelling of 103603808 in words is "one hundred three million, six hundred three thousand, eight hundred eight".