105632112 has 80 divisors (see below), whose sum is σ = 279303552. Its totient is φ = 34394880.

The previous prime is 105632081. The next prime is 105632119. The reversal of 105632112 is 211236501.

It is a super-2 number, since 2×105632112² = 22316286171161088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105632119) 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, 672738 + ... + 672894.

Almost surely, 2^105632112 is an apocalyptic number.

105632112 is a gapful number since it is divisible by the number (12) 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 105632112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139651776).

105632112 is an abundant number, since it is smaller than the sum of its proper divisors (173671440).

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

105632112 is a wasteful number, since it uses less digits than its factorization.

105632112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105632112 is about 10277.7483915496. The cubic root of 105632112 is about 472.7142065063.

Adding to 105632112 its reverse (211236501), we get a palindrome (316868613).

The spelling of 105632112 in words is "one hundred five million, six hundred thirty-two thousand, one hundred twelve".