103438368 has 144 divisors (see below), whose sum is σ = 325031616. Its totient is φ = 30942720.

The previous prime is 103438343. The next prime is 103438373. The reversal of 103438368 is 863834301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326146 + ... + 326462.

It is an arithmetic number, because the mean of its divisors is an integer number (2257164).

Almost surely, 2^103438368 is an apocalyptic number.

103438368 is a gapful number since it is divisible by the number (18) 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 103438368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162515808).

103438368 is an abundant number, since it is smaller than the sum of its proper divisors (221593248).

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

103438368 is a wasteful number, since it uses less digits than its factorization.

103438368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 103438368 is about 10170.4654760734. The cubic root of 103438368 is about 469.4188803972.

The spelling of 103438368 in words is "one hundred three million, four hundred thirty-eight thousand, three hundred sixty-eight".