105225472 has 108 divisors (see below), whose sum is σ = 239229760. Its totient is φ = 46126080.

The previous prime is 105225467. The next prime is 105225473. The reversal of 105225472 is 274522501.

It is a super-3 number, since 3×105225472³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105225472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105225473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331929 + ... + 1332007.

Almost surely, 2^105225472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119614880).

105225472 is an abundant number, since it is smaller than the sum of its proper divisors (134004288).

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

105225472 is an equidigital number, since it uses as much as digits as its factorization.

105225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 105225472 is about 10257.9467731121. The cubic root of 105225472 is about 472.1068416567.

Adding to 105225472 its reverse (274522501), we get a palindrome (379747973).

The spelling of 105225472 in words is "one hundred five million, two hundred twenty-five thousand, four hundred seventy-two".