105908432 has 80 divisors (see below), whose sum is σ = 249210240. Its totient is φ = 42591744.

The previous prime is 105908423. The next prime is 105908447. The reversal of 105908432 is 234809501.

It is a super-2 number, since 2×105908432² = 22433191937397248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333938 + ... + 334254.

It is an arithmetic number, because the mean of its divisors is an integer number (3115128).

Almost surely, 2^105908432 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 105908432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124605120).

105908432 is an abundant number, since it is smaller than the sum of its proper divisors (143301808).

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

105908432 is a wasteful number, since it uses less digits than its factorization.

105908432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105908432 is about 10291.1822450096. The cubic root of 105908432 is about 473.1260341123.

The spelling of 105908432 in words is "one hundred five million, nine hundred eight thousand, four hundred thirty-two".