105275344896 has 336 divisors, whose sum is σ = 319037518800. Its totient is φ = 34711068672.

The previous prime is 105275344891. The next prime is 105275344963. The reversal of 105275344896 is 698443572501.

It is a happy number.

105275344896 is a `hidden beast` number, since 1 + 0 + 5 + 27 + 534 + 4 + 89 + 6 = 666.

It is a super-2 number, since 2×105275344896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105275344891) 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 27 ways as a sum of consecutive naturals, for example, 159749815 + ... + 159750473.

It is an arithmetic number, because the mean of its divisors is an integer number (949516425).

It is a 1-persistent number, because it is pandigital, but 2⋅105275344896 = 210550689792 is not.

Almost surely, 2^105275344896 is an apocalyptic number.

105275344896 is a gapful number since it is divisible by the number (16) 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 105275344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159518759400).

105275344896 is an abundant number, since it is smaller than the sum of its proper divisors (213762173904).

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

105275344896 is an frugal number, since it uses more digits than its factorization.

105275344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 105275344896 in words is "one hundred five billion, two hundred seventy-five million, three hundred forty-four thousand, eight hundred ninety-six".