105448227456500 has 96 divisors (see below), whose sum is σ = 234129085925280. Its totient is φ = 41478120576000.

The previous prime is 105448227456499. The next prime is 105448227456511. The reversal of 105448227456500 is 5654722844501.

It can be written as a sum of positive squares in 16 ways, for example, as 87776999247844 + 17671228208656 = 9368938^2 + 4203716^2 .

It is a super-6 number, since 6×105448227456500⁶ (a number of 85 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130656206 + ... + 131460794.

It is an arithmetic number, because the mean of its divisors is an integer number (2438844645055).

Almost surely, 2^{105448227456500} is an apocalyptic number.

105448227456500 is a gapful number since it is divisible by the number (10) 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 105448227456500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117064542962640).

105448227456500 is an abundant number, since it is smaller than the sum of its proper divisors (128680858468780).

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

105448227456500 is a wasteful number, since it uses less digits than its factorization.

105448227456500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808966 (or 808954 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 53.

The spelling of 105448227456500 in words is "one hundred five trillion, four hundred forty-eight billion, two hundred twenty-seven million, four hundred fifty-six thousand, five hundred".