105525424256 has 192 divisors, whose sum is σ = 246961975680. Its totient is φ = 43992539136.

The previous prime is 105525424223. The next prime is 105525424309. The reversal of 105525424256 is 652424525501.

It is a super-2 number, since 2×105525424256² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 631888685 + ... + 631888851.

It is an arithmetic number, because the mean of its divisors is an integer number (1286260290).

Almost surely, 2^105525424256 is an apocalyptic number.

105525424256 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 105525424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480987840).

105525424256 is an abundant number, since it is smaller than the sum of its proper divisors (141436551424).

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

105525424256 is an equidigital number, since it uses as much as digits as its factorization.

105525424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

Adding to 105525424256 its reverse (652424525501), we get a palindrome (757949949757).

The spelling of 105525424256 in words is "one hundred five billion, five hundred twenty-five million, four hundred twenty-four thousand, two hundred fifty-six".