103823600 has 90 divisors (see below), whose sum is σ = 263621520. Its totient is φ = 39288960.

The previous prime is 103823579. The next prime is 103823627. The reversal of 103823600 is 6328301.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144041 + ... + 144759.

It is an arithmetic number, because the mean of its divisors is an integer number (2929128).

Almost surely, 2^103823600 is an apocalyptic number.

103823600 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 103823600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131810760).

103823600 is an abundant number, since it is smaller than the sum of its proper divisors (159797920).

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

103823600 is a wasteful number, since it uses less digits than its factorization.

103823600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 103823600 is about 10189.3866351219. The cubic root of 103823600 is about 470.0009053853. Note that the first 3 decimals are identical.

The spelling of 103823600 in words is "one hundred three million, eight hundred twenty-three thousand, six hundred".