105533296 has 90 divisors (see below), whose sum is σ = 238771176. Its totient is φ = 45144000.

The previous prime is 105533293. The next prime is 105533357. The reversal of 105533296 is 692335501.

It is a happy number.

It is a super-2 number, since 2×105533296² = 22274553129247232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105533293) 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 17 ways as a sum of consecutive naturals, for example, 698821 + ... + 698971.

Almost surely, 2^105533296 is an apocalyptic number.

105533296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105533296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119385588).

105533296 is an abundant number, since it is smaller than the sum of its proper divisors (133237880).

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

105533296 is a wasteful number, since it uses less digits than its factorization.

105533296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The square root of 105533296 is about 10272.9399881436. The cubic root of 105533296 is about 472.5667567092.

Adding to 105533296 its reverse (692335501), we get a palindrome (797868797).

The spelling of 105533296 in words is "one hundred five million, five hundred thirty-three thousand, two hundred ninety-six".