105503328 has 144 divisors (see below), whose sum is σ = 349090560. Its totient is φ = 29599488.

The previous prime is 105503327. The next prime is 105503341. The reversal of 105503328 is 823305501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105503328² = 22261904438151168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105503327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118501 + ... + 119387.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2^105503328 is an apocalyptic number.

105503328 is a gapful number since it is divisible by the number (18) 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 105503328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280).

105503328 is an abundant number, since it is smaller than the sum of its proper divisors (243587232).

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

105503328 is a wasteful number, since it uses less digits than its factorization.

105503328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105503328 is about 10271.4812953147. The cubic root of 105503328 is about 472.5220213135.

Adding to 105503328 its reverse (823305501), we get a palindrome (928808829).

The spelling of 105503328 in words is "one hundred five million, five hundred three thousand, three hundred twenty-eight".