105704560 has 160 divisors (see below), whose sum is σ = 282606912. Its totient is φ = 36495360.

The previous prime is 105704549. The next prime is 105704569. The reversal of 105704560 is 65407501.

It is a super-2 number, since 2×105704560² = 22346908009587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105704569) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1577647 + ... + 1577713.

Almost surely, 2^105704560 is an apocalyptic number.

105704560 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 105704560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141303456).

105704560 is an abundant number, since it is smaller than the sum of its proper divisors (176902352).

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

105704560 is a wasteful number, since it uses less digits than its factorization.

105704560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 105704560 is about 10281.2722948087. The cubic root of 105704560 is about 472.8222524773.

The spelling of 105704560 in words is "one hundred five million, seven hundred four thousand, five hundred sixty".