105227336448 has 216 divisors, whose sum is σ = 337277333120. Its totient is φ = 31332925440.

The previous prime is 105227336429. The next prime is 105227336449. The reversal of 105227336448 is 844633722501.

105227336448 is a `hidden beast` number, since 10 + 5 + 2 + 273 + 364 + 4 + 8 = 666.

It is a super-3 number, since 3×105227336448³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105227336449) 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 23 ways as a sum of consecutive naturals, for example, 871848 + ... + 985176.

Almost surely, 2^105227336448 is an apocalyptic number.

105227336448 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 105227336448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168638666560).

105227336448 is an abundant number, since it is smaller than the sum of its proper divisors (232049996672).

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

105227336448 is a wasteful number, since it uses less digits than its factorization.

105227336448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113395 (or 113378 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 105227336448 in words is "one hundred five billion, two hundred twenty-seven million, three hundred thirty-six thousand, four hundred forty-eight".