103993344 has 312 divisors, whose sum is σ = 381635072. Its totient is φ = 26542080.

The previous prime is 103993321. The next prime is 103993363. The reversal of 103993344 is 443399301.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a junction number, because it is equal to n+sod(n) for n = 103993299 and 103993308.

It is a congruent number.

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, 3354609 + ... + 3354639.

Almost surely, 2^103993344 is an apocalyptic number.

103993344 is a gapful number since it is divisible by the number (14) 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 103993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190817536).

103993344 is an abundant number, since it is smaller than the sum of its proper divisors (277641728).

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

103993344 is a wasteful number, since it uses less digits than its factorization.

103993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 103993344 is about 10197.7126847151. The cubic root of 103993344 is about 470.2569049688.

The spelling of 103993344 in words is "one hundred three million, nine hundred ninety-three thousand, three hundred forty-four".