105823320 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 26625536.

The previous prime is 105823309. The next prime is 105823339. The reversal of 105823320 is 23328501.

It is a super-2 number, since 2×105823320² = 22397150111644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163237 + ... + 163883.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2^105823320 is an apocalyptic number.

105823320 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 105823320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

105823320 is an abundant number, since it is smaller than the sum of its proper divisors (230099880).

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

105823320 is a wasteful number, since it uses less digits than its factorization.

105823320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105823320 is about 10287.0462232849. The cubic root of 105823320 is about 472.9992595197. Note that the first 3 decimals are identical.

The spelling of 105823320 in words is "one hundred five million, eight hundred twenty-three thousand, three hundred twenty".