100320441026256 has 480 divisors, whose sum is σ = 310707250963200. Its totient is φ = 30214178734080.

The previous prime is 100320441026251. The next prime is 100320441026257. The reversal of 100320441026256 is 652620144023001.

100320441026256 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 20 + 4 + 4 + 1 + 0 + 2 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100320441026256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320441026251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24776594920 + ... + 24776598968.

It is an arithmetic number, because the mean of its divisors is an integer number (647306772840).

Almost surely, 2^{100320441026256} is an apocalyptic number.

100320441026256 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 100320441026256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155353625481600).

100320441026256 is an abundant number, since it is smaller than the sum of its proper divisors (210386809936944).

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

100320441026256 is a wasteful number, since it uses less digits than its factorization.

100320441026256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 100320441026256 its reverse (652620144023001), we get a palindrome (752940585049257).

The spelling of 100320441026256 in words is "one hundred trillion, three hundred twenty billion, four hundred forty-one million, twenty-six thousand, two hundred fifty-six".