105916832 has 72 divisors (see below), whose sum is σ = 250508160. Its totient is φ = 43908480.

The previous prime is 105916813. The next prime is 105916841. The reversal of 105916832 is 238619501.

It is a super-2 number, since 2×105916832² = 22436750601832448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105916792 and 105916801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47519 + ... + 49697.

It is an arithmetic number, because the mean of its divisors is an integer number (3479280).

Almost surely, 2^105916832 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 105916832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125254080).

105916832 is an abundant number, since it is smaller than the sum of its proper divisors (144591328).

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

105916832 is a wasteful number, since it uses less digits than its factorization.

105916832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105916832 is about 10291.5903532933. The cubic root of 105916832 is about 473.1385422559.

The spelling of 105916832 in words is "one hundred five million, nine hundred sixteen thousand, eight hundred thirty-two".