105533312 has 32 divisors (see below), whose sum is σ = 211543920. Its totient is φ = 52440064.

The previous prime is 105533293. The next prime is 105533357. The reversal of 105533312 is 213335501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105533312² = 22274559883378688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18908 + ... + 23844.

Almost surely, 2^105533312 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 105533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105771960).

105533312 is an abundant number, since it is smaller than the sum of its proper divisors (106010608).

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

105533312 is an equidigital number, since it uses as much as digits as its factorization.

105533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105533312 is about 10272.9407668885. The cubic root of 105533312 is about 472.5667805913.

Adding to 105533312 its reverse (213335501), we get a palindrome (318868813).

The spelling of 105533312 in words is "one hundred five million, five hundred thirty-three thousand, three hundred twelve".