105531328 has 56 divisors (see below), whose sum is σ = 241759232. Its totient is φ = 44769024.

The previous prime is 105531317. The next prime is 105531329. The reversal of 105531328 is 823135501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105531328² = 22273722378887168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 105531296 and 105531305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105531329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45001 + ... + 47287.

Almost surely, 2^105531328 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 105531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120879616).

105531328 is an abundant number, since it is smaller than the sum of its proper divisors (136227904).

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

105531328 is a wasteful number, since it uses less digits than its factorization.

105531328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105531328 is about 10272.8442020698. The cubic root of 105531328 is about 472.5638191934.

Adding to 105531328 its reverse (823135501), we get a palindrome (928666829).

It can be divided in two parts, 10553 and 1328, that added together give a square (11881 = 109²).

The spelling of 105531328 in words is "one hundred five million, five hundred thirty-one thousand, three hundred twenty-eight".