103788936 has 96 divisors (see below), whose sum is σ = 289785600. Its totient is φ = 33546240.

The previous prime is 103788929. The next prime is 103788943. The reversal of 103788936 is 639887301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103788929) and next prime (103788943).

It is a junction number, because it is equal to n+sod(n) for n = 103788891 and 103788900.

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 23 ways as a sum of consecutive naturals, for example, 403720 + ... + 403976.

It is an arithmetic number, because the mean of its divisors is an integer number (3018600).

Almost surely, 2^103788936 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 103788936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144892800).

103788936 is an abundant number, since it is smaller than the sum of its proper divisors (185996664).

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

103788936 is a wasteful number, since it uses less digits than its factorization.

103788936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 103788936 is about 10187.6855075135. The cubic root of 103788936 is about 469.9485925364.

The spelling of 103788936 in words is "one hundred three million, seven hundred eighty-eight thousand, nine hundred thirty-six".