105581856 has 48 divisors (see below), whose sum is σ = 283608864. Its totient is φ = 34374144.

The previous prime is 105581851. The next prime is 105581867. The reversal of 105581856 is 658185501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105581856² = 22295056632809472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105581851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8661 + ... + 16916.

It is an arithmetic number, because the mean of its divisors is an integer number (5908518).

Almost surely, 2^105581856 is an apocalyptic number.

105581856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105581856 is an abundant number, since it is smaller than the sum of its proper divisors (178027008).

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

105581856 is a wasteful number, since it uses less digits than its factorization.

105581856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25633 (or 25625 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 39.

The square root of 105581856 is about 10275.3032072051. The cubic root of 105581856 is about 472.6392277483.

The spelling of 105581856 in words is "one hundred five million, five hundred eighty-one thousand, eight hundred fifty-six".