105644032 has 76 divisors (see below), whose sum is σ = 234880576. Its totient is φ = 47185920.

The previous prime is 105644029. The next prime is 105644041. The reversal of 105644032 is 230446501.

It is a super-2 number, since 2×105644032² = 22321322994434048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105643988 and 105644006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3407857 + ... + 3407887.

Almost surely, 2^105644032 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 105644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440288).

105644032 is an abundant number, since it is smaller than the sum of its proper divisors (129236544).

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

105644032 is an frugal number, since it uses more digits than its factorization.

105644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 105644032 is about 10278.3282687410. The cubic root of 105644032 is about 472.7319868994.

The spelling of 105644032 in words is "one hundred five million, six hundred forty-four thousand, thirty-two".