105665660 has 24 divisors (see below), whose sum is σ = 224710080. Its totient is φ = 41730624.

The previous prime is 105665653. The next prime is 105665687. The reversal of 105665660 is 66566501.

It is a super-2 number, since 2×105665660² = 22330463406471200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105665660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31859 + ... + 35018.

It is an arithmetic number, because the mean of its divisors is an integer number (9362920).

Almost surely, 2^105665660 is an apocalyptic number.

105665660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105665660 is an abundant number, since it is smaller than the sum of its proper divisors (119044420).

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

105665660 is a wasteful number, since it uses less digits than its factorization.

105665660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66965 (or 66963 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 105665660 is about 10279.3803315180. The cubic root of 105665660 is about 472.7642447549.

The spelling of 105665660 in words is "one hundred five million, six hundred sixty-five thousand, six hundred sixty".