105452224 has 56 divisors (see below), whose sum is σ = 223954848. Its totient is φ = 49090560.

The previous prime is 105452213. The next prime is 105452231. The reversal of 105452224 is 422254501.

It is a super-3 number, since 3×105452224³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111594 + ... + 112534.

Almost surely, 2^105452224 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 105452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111977424).

105452224 is an abundant number, since it is smaller than the sum of its proper divisors (118502624).

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

105452224 is a wasteful number, since it uses less digits than its factorization.

105452224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 105452224 is about 10268.9933294359. The cubic root of 105452224 is about 472.4457151412.

It can be divided in two parts, 10545 and 2224, that added together give a square (12769 = 113²).

The spelling of 105452224 in words is "one hundred five million, four hundred fifty-two thousand, two hundred twenty-four".