105865056 has 240 divisors, whose sum is σ = 351267840. Its totient is φ = 31000320.

The previous prime is 105865037. The next prime is 105865061. The reversal of 105865056 is 650568501.

It is a super-2 number, since 2×105865056² = 22414820163766272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105865056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1340025 + ... + 1340103.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616).

Almost surely, 2^105865056 is an apocalyptic number.

105865056 is a gapful number since it is divisible by the number (16) 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 105865056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

105865056 is an abundant number, since it is smaller than the sum of its proper divisors (245402784).

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

105865056 is a wasteful number, since it uses less digits than its factorization.

105865056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 105865056 is about 10289.0745939564. The cubic root of 105865056 is about 473.0614339138.

The spelling of 105865056 in words is "one hundred five million, eight hundred sixty-five thousand, fifty-six".