105532284 has 96 divisors (see below), whose sum is σ = 292965120. Its totient is φ = 29145600.

The previous prime is 105532267. The next prime is 105532331. The reversal of 105532284 is 482235501.

It is a super-2 number, since 2×105532284² = 22274125932513312, 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 31 ways as a sum of consecutive naturals, for example, 152379 + ... + 153069.

It is an arithmetic number, because the mean of its divisors is an integer number (3051720).

Almost surely, 2^105532284 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 105532284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146482560).

105532284 is an abundant number, since it is smaller than the sum of its proper divisors (187432836).

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

105532284 is a wasteful number, since it uses less digits than its factorization.

105532284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 105532284 is about 10272.8907324083. The cubic root of 105532284 is about 472.5652461620.

Adding to 105532284 its reverse (482235501), we get a palindrome (587767785).

The spelling of 105532284 in words is "one hundred five million, five hundred thirty-two thousand, two hundred eighty-four".