105666560 has 96 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 39714816.

The previous prime is 105666559. The next prime is 105666563. The reversal of 105666560 is 65666501.

It is a super-2 number, since 2×105666560² = 22330843804467200, 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 105666560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666563) 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, 173777 + ... + 174383.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^105666560 is an apocalyptic number.

105666560 is a gapful number since it is divisible by the number (10) 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 105666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

105666560 is an abundant number, since it is smaller than the sum of its proper divisors (163227520).

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

105666560 is an equidigital number, since it uses as much as digits as its factorization.

105666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 631 counting only the distinct ones).

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

The square root of 105666560 is about 10279.4241083827. The cubic root of 105666560 is about 472.7655869968.

The spelling of 105666560 in words is "one hundred five million, six hundred sixty-six thousand, five hundred sixty".