105231200 has 72 divisors (see below), whose sum is σ = 258577200. Its totient is φ = 41817600.

The previous prime is 105231199. The next prime is 105231211. The reversal of 105231200 is 2132501.

It is a happy number.

It is a super-2 number, since 2×105231200² = 22147210906880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158870 + ... + 159530.

It is an arithmetic number, because the mean of its divisors is an integer number (3591350).

Almost surely, 2^105231200 is an apocalyptic number.

105231200 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 105231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129288600).

105231200 is an abundant number, since it is smaller than the sum of its proper divisors (153346000).

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

105231200 is a wasteful number, since it uses less digits than its factorization.

105231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105231200 is about 10258.2259674858. The cubic root of 105231200 is about 472.1154079568.

Adding to 105231200 its reverse (2132501), we get a palindrome (107363701).

The spelling of 105231200 in words is "one hundred five million, two hundred thirty-one thousand, two hundred".