103933440 has 240 divisors, whose sum is σ = 388756368. Its totient is φ = 25509888.

The previous prime is 103933429. The next prime is 103933441. The reversal of 103933440 is 44339301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103933441) 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, 299347 + ... + 299693.

Almost surely, 2^103933440 is an apocalyptic number.

103933440 is a gapful number since it is divisible by the number (10) 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 103933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194378184).

103933440 is an abundant number, since it is smaller than the sum of its proper divisors (284822928).

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

103933440 is a wasteful number, since it uses less digits than its factorization.

103933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 103933440 is about 10194.7751323901. The cubic root of 103933440 is about 470.1665925208.

The spelling of 103933440 in words is "one hundred three million, nine hundred thirty-three thousand, four hundred forty".