232105320 has 96 divisors (see below), whose sum is σ = 756592200. Its totient is φ = 61710336.

The previous prime is 232105309. The next prime is 232105331. The reversal of 232105320 is 23501232.

It is an interprime number because it is at equal distance from previous prime (232105309) and next prime (232105331).

It can be written as a sum of positive squares in 4 ways, for example, as 103917636 + 128187684 = 10194^2 + 11322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232105293 and 232105302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155136 + ... + 156624.

Almost surely, 2^232105320 is an apocalyptic number.

232105320 is a gapful number since it is divisible by the number (20) 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 232105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378296100).

232105320 is an abundant number, since it is smaller than the sum of its proper divisors (524486880).

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

232105320 is a wasteful number, since it uses less digits than its factorization.

232105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 232105320 is about 15235.0031178205. The cubic root of 232105320 is about 614.5563327970.

Adding to 232105320 its reverse (23501232), we get a palindrome (255606552).

The spelling of 232105320 in words is "two hundred thirty-two million, one hundred five thousand, three hundred twenty".