105274224 has 120 divisors (see below), whose sum is σ = 329447664. Its totient is φ = 31104000.

The previous prime is 105274223. The next prime is 105274229. The reversal of 105274224 is 422472501.

It is a super-2 number, since 2×105274224² = 22165324477604352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105274223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64134 + ... + 65754.

Almost surely, 2^105274224 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 105274224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164723832).

105274224 is an abundant number, since it is smaller than the sum of its proper divisors (224173440).

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

105274224 is a wasteful number, since it uses less digits than its factorization.

105274224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 105274224 is about 10260.3228019395. The cubic root of 105274224 is about 472.1797409864.

The spelling of 105274224 in words is "one hundred five million, two hundred seventy-four thousand, two hundred twenty-four".