103806384 has 120 divisors (see below), whose sum is σ = 300616176. Its totient is φ = 30835200.

The previous prime is 103806377. The next prime is 103806389. The reversal of 103806384 is 483608301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (103806389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354142 + ... + 354434.

Almost surely, 2^103806384 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 103806384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150308088).

103806384 is an abundant number, since it is smaller than the sum of its proper divisors (196809792).

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

103806384 is a wasteful number, since it uses less digits than its factorization.

103806384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 103806384 is about 10188.5417994922. The cubic root of 103806384 is about 469.9749254768.

The spelling of 103806384 in words is "one hundred three million, eight hundred six thousand, three hundred eighty-four".