103823306720 has 96 divisors (see below), whose sum is σ = 280760836608. Its totient is φ = 35540955648.

The previous prime is 103823306701. The next prime is 103823306723. The reversal of 103823306720 is 27603328301.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103823306723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648077 + ... + 792243.

It is an arithmetic number, because the mean of its divisors is an integer number (2924592048).

Almost surely, 2^103823306720 is an apocalyptic number.

103823306720 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 103823306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140380418304).

103823306720 is an abundant number, since it is smaller than the sum of its proper divisors (176937529888).

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

103823306720 is a wasteful number, since it uses less digits than its factorization.

103823306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144832 (or 144824 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 103823306720 in words is "one hundred three billion, eight hundred twenty-three million, three hundred six thousand, seven hundred twenty".