103923840 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 27410432.

The previous prime is 103923797. The next prime is 103923851. The reversal of 103923840 is 48329301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103923798 and 103923807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216721 + ... + 217199.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^103923840 is an apocalyptic number.

103923840 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 103923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

103923840 is an abundant number, since it is smaller than the sum of its proper divisors (230962560).

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

103923840 is a wasteful number, since it uses less digits than its factorization.

103923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 103923840 is about 10194.3042921035. The cubic root of 103923840 is about 470.1521161461.

The spelling of 103923840 in words is "one hundred three million, nine hundred twenty-three thousand, eight hundred forty".