105522032 has 80 divisors (see below), whose sum is σ = 257816832. Its totient is φ = 40642560.

The previous prime is 105522023. The next prime is 105522083. The reversal of 105522032 is 230225501.

It is a super-2 number, since 2×105522032² = 22269798474818048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105521995 and 105522013.

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 15 ways as a sum of consecutive naturals, for example, 119063 + ... + 119945.

Almost surely, 2^105522032 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 105522032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908416).

105522032 is an abundant number, since it is smaller than the sum of its proper divisors (152294800).

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

105522032 is a wasteful number, since it uses less digits than its factorization.

105522032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105522032 is about 10272.3917370786. The cubic root of 105522032 is about 472.5499431172.

Adding to 105522032 its reverse (230225501), we get a palindrome (335747533).

The spelling of 105522032 in words is "one hundred five million, five hundred twenty-two thousand, thirty-two".