105296530825728 has 1120 divisors, whose sum is σ = 365581002568320. Its totient is φ = 29930070343680.

The previous prime is 105296530825727. The next prime is 105296530825729. The reversal of 105296530825728 is 827528035692501.

It is a happy number.

105296530825728 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 9 + 6 + 53 + 0 + 8 + 2 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (105296530825727) and next prime (105296530825729).

It is a super-2 number, since 2×105296530825728² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105296530825727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 22125765813 + ... + 22125770571.

It is an arithmetic number, because the mean of its divisors is an integer number (326411609436).

Almost surely, 2^{105296530825728} is an apocalyptic number.

105296530825728 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 105296530825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182790501284160).

105296530825728 is an abundant number, since it is smaller than the sum of its proper divisors (260284471742592).

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

105296530825728 is an equidigital number, since it uses as much as digits as its factorization.

105296530825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 105296530825728 in words is "one hundred five trillion, two hundred ninety-six billion, five hundred thirty million, eight hundred twenty-five thousand, seven hundred twenty-eight".