103823712 has 144 divisors (see below), whose sum is σ = 316068480. Its totient is φ = 32256000.

The previous prime is 103823693. The next prime is 103823717. The reversal of 103823712 is 217328301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103823717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258712 + ... + 259112.

It is an arithmetic number, because the mean of its divisors is an integer number (2194920).

Almost surely, 2^103823712 is an apocalyptic number.

103823712 is a gapful number since it is divisible by the number (12) 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 103823712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158034240).

103823712 is an abundant number, since it is smaller than the sum of its proper divisors (212244768).

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

103823712 is a wasteful number, since it uses less digits than its factorization.

103823712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103823712 is about 10189.3921310351. The cubic root of 103823712 is about 470.0010743902.

The spelling of 103823712 in words is "one hundred three million, eight hundred twenty-three thousand, seven hundred twelve".