105795648 has 168 divisors, whose sum is σ = 365069120. Its totient is φ = 28615680.

The previous prime is 105795643. The next prime is 105795649. The reversal of 105795648 is 846597501.

105795648 is a `hidden beast` number, since 10 + 5 + 79 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×105795648² = 22385438271479808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105795643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75918 + ... + 77298.

Almost surely, 2^105795648 is an apocalyptic number.

105795648 is a gapful number since it is divisible by the number (18) 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 105795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182534560).

105795648 is an abundant number, since it is smaller than the sum of its proper divisors (259273472).

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

105795648 is a wasteful number, since it uses less digits than its factorization.

105795648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 105795648 is about 10285.7011428487. The cubic root of 105795648 is about 472.9580273459.

The spelling of 105795648 in words is "one hundred five million, seven hundred ninety-five thousand, six hundred forty-eight".