103438816 has 72 divisors (see below), whose sum is σ = 227997504. Its totient is φ = 46126080.

The previous prime is 103438813. The next prime is 103438823. The reversal of 103438816 is 618834301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103438813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167340 + ... + 167956.

It is an arithmetic number, because the mean of its divisors is an integer number (3166632).

Almost surely, 2^103438816 is an apocalyptic number.

103438816 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 103438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113998752).

103438816 is an abundant number, since it is smaller than the sum of its proper divisors (124558688).

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

103438816 is a wasteful number, since it uses less digits than its factorization.

103438816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 103438816 is about 10170.4875006068. The cubic root of 103438816 is about 469.4195580934.

The spelling of 103438816 in words is "one hundred three million, four hundred thirty-eight thousand, eight hundred sixteen".