105723648 has 54 divisors (see below), whose sum is σ = 304833984. Its totient is φ = 35240448.

The previous prime is 105723641. The next prime is 105723649. The reversal of 105723648 is 846327501.

105723648 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 3 + 648 = 666.

It is a super-2 number, since 2×105723648² = 22354979492855808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105723641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20640 + ... + 25247.

Almost surely, 2^105723648 is an apocalyptic number.

105723648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105723648 is an abundant number, since it is smaller than the sum of its proper divisors (199110336).

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

105723648 is an equidigital number, since it uses as much as digits as its factorization.

105723648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45909 (or 45892 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 105723648 is about 10282.2005426854. The cubic root of 105723648 is about 472.8507113188.

The spelling of 105723648 in words is "one hundred five million, seven hundred twenty-three thousand, six hundred forty-eight".