105282944 has 96 divisors (see below), whose sum is σ = 235938240. Its totient is φ = 46725120.

The previous prime is 105282943. The next prime is 105283001. The reversal of 105282944 is 449282501.

It is a super-2 number, since 2×105282944² = 22168996594614272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105282941) 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, 670514 + ... + 670670.

It is an arithmetic number, because the mean of its divisors is an integer number (2457690).

Almost surely, 2^105282944 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 105282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117969120).

105282944 is an abundant number, since it is smaller than the sum of its proper divisors (130655296).

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

105282944 is a wasteful number, since it uses less digits than its factorization.

105282944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 105282944 is about 10260.7477310379. The cubic root of 105282944 is about 472.1927777125.

The spelling of 105282944 in words is "one hundred five million, two hundred eighty-two thousand, nine hundred forty-four".