105305032 has 64 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 42819840.

The previous prime is 105305027. The next prime is 105305033. The reversal of 105305032 is 230503501.

It is a super-2 number, since 2×105305032² = 22178299529042048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105305033) 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 15 ways as a sum of consecutive naturals, for example, 98533 + ... + 99595.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^105305032 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 105305032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

105305032 is an abundant number, since it is smaller than the sum of its proper divisors (132179768).

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

105305032 is a wasteful number, since it uses less digits than its factorization.

105305032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 105305032 is about 10261.8240094050. The cubic root of 105305032 is about 472.2257968777.

Adding to 105305032 its reverse (230503501), we get a palindrome (335808533).

The spelling of 105305032 in words is "one hundred five million, three hundred five thousand, thirty-two".