103003824 has 240 divisors, whose sum is σ = 354620160. Its totient is φ = 24998400.

The previous prime is 103003783. The next prime is 103003829. The reversal of 103003824 is 428300301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 103003824.

It is not an unprimeable number, because it can be changed into a prime (103003829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3322689 + ... + 3322719.

It is an arithmetic number, because the mean of its divisors is an integer number (1477584).

Almost surely, 2^103003824 is an apocalyptic number.

103003824 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 103003824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177310080).

103003824 is an abundant number, since it is smaller than the sum of its proper divisors (251616336).

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

103003824 is a wasteful number, since it uses less digits than its factorization.

103003824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 103003824 is about 10149.0799583016. The cubic root of 103003824 is about 468.7606157240.

The spelling of 103003824 in words is "one hundred three million, three thousand, eight hundred twenty-four".