105775331328 has 240 divisors, whose sum is σ = 316918602000. Its totient is φ = 35149676544.

The previous prime is 105775331317. The next prime is 105775331339. The reversal of 105775331328 is 823133577501.

105775331328 is a `hidden beast` number, since 1 + 0 + 577 + 53 + 3 + 1 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (105775331317) and next prime (105775331339).

It is a super-2 number, since 2×105775331328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67847413 + ... + 67848971.

It is an arithmetic number, because the mean of its divisors is an integer number (1320494175).

Almost surely, 2^105775331328 is an apocalyptic number.

105775331328 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 105775331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158459301000).

105775331328 is an abundant number, since it is smaller than the sum of its proper divisors (211143270672).

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

105775331328 is an equidigital number, since it uses as much as digits as its factorization.

105775331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 105775331328 in words is "one hundred five billion, seven hundred seventy-five million, three hundred thirty-one thousand, three hundred twenty-eight".