105896448 has 240 divisors, whose sum is σ = 361732800. Its totient is φ = 29804544.

The previous prime is 105896447. The next prime is 105896459. The reversal of 105896448 is 844698501.

105896448 is a `hidden beast` number, since 1 + 0 + 589 + 64 + 4 + 8 = 666.

It is a super-2 number, since 2×105896448² = 22428115398033408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105896447) 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, 1580511 + ... + 1580577.

It is an arithmetic number, because the mean of its divisors is an integer number (1507220).

Almost surely, 2^105896448 is an apocalyptic number.

105896448 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 105896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180866400).

105896448 is an abundant number, since it is smaller than the sum of its proper divisors (255836352).

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

105896448 is an frugal number, since it uses more digits than its factorization.

105896448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 105896448 is about 10290.5999825083. The cubic root of 105896448 is about 473.1081880159.

The spelling of 105896448 in words is "one hundred five million, eight hundred ninety-six thousand, four hundred forty-eight".