105585648 has 40 divisors (see below), whose sum is σ = 311730048. Its totient is φ = 30167232.

The previous prime is 105585647. The next prime is 105585661. The reversal of 105585648 is 846585501.

It is a super-2 number, since 2×105585648² = 22296658127159808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105585647) 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, 156786 + ... + 157457.

Almost surely, 2^105585648 is an apocalyptic number.

It is an amenable number.

105585648 is an abundant number, since it is smaller than the sum of its proper divisors (206144400).

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

105585648 is a wasteful number, since it uses less digits than its factorization.

105585648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314261 (or 314255 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 105585648 is about 10275.4877256508. The cubic root of 105585648 is about 472.6448860011.

The spelling of 105585648 in words is "one hundred five million, five hundred eighty-five thousand, six hundred forty-eight".