232105200 has 120 divisors (see below), whose sum is σ = 749856768. Its totient is φ = 61367040.

The previous prime is 232105193. The next prime is 232105217. The reversal of 232105200 is 2501232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232105200.

It is a congruent number.

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, 151639 + ... + 153161.

Almost surely, 2^232105200 is an apocalyptic number.

232105200 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 232105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374928384).

232105200 is an abundant number, since it is smaller than the sum of its proper divisors (517751568).

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

232105200 is a wasteful number, since it uses less digits than its factorization.

232105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 232105200 is about 15234.9991795208. Note that the first 3 decimals coincide. The cubic root of 232105200 is about 614.5562268871.

Adding to 232105200 its reverse (2501232), we get a palindrome (234606432).

The spelling of 232105200 in words is "two hundred thirty-two million, one hundred five thousand, two hundred".