103839840 has 288 divisors, whose sum is σ = 400710240. Its totient is φ = 24966144.

The previous prime is 103839829. The next prime is 103839877. The reversal of 103839840 is 48938301.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 103839795 and 103839804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2414859 + ... + 2414901.

It is an arithmetic number, because the mean of its divisors is an integer number (1391355).

Almost surely, 2^103839840 is an apocalyptic number.

103839840 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 103839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200355120).

103839840 is an abundant number, since it is smaller than the sum of its proper divisors (296870400).

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

103839840 is a wasteful number, since it uses less digits than its factorization.

103839840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103839840 is about 10190.1835115959. The cubic root of 103839840 is about 470.0254098229.

The spelling of 103839840 in words is "one hundred three million, eight hundred thirty-nine thousand, eight hundred forty".