105665056 has 24 divisors (see below), whose sum is σ = 237746880. Its totient is φ = 45284928.

The previous prime is 105665041. The next prime is 105665129. The reversal of 105665056 is 650566501.

It is a super-3 number, since 3×105665056³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235636 + ... + 236083.

It is an arithmetic number, because the mean of its divisors is an integer number (9906120).

Almost surely, 2^105665056 is an apocalyptic number.

105665056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105665056 is an abundant number, since it is smaller than the sum of its proper divisors (132081824).

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

105665056 is an equidigital number, since it uses as much as digits as its factorization.

105665056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471736 (or 471728 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 105665056 is about 10279.3509522732. The cubic root of 105665056 is about 472.7633439572.

The spelling of 105665056 in words is "one hundred five million, six hundred sixty-five thousand, fifty-six".