100826880000 has 1440 divisors, whose sum is σ = 435568573440. Its totient is φ = 20275200000.

The previous prime is 100826879999. The next prime is 100826880013. The reversal of 100826880000 is 88628001.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 119 ways as a sum of consecutive naturals, for example, 3252479985 + ... + 3252480015.

It is an arithmetic number, because the mean of its divisors is an integer number (302478176).

Almost surely, 2^100826880000 is an apocalyptic number.

100826880000 is a gapful number since it is divisible by the number (10) 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 100826880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217784286720).

100826880000 is an abundant number, since it is smaller than the sum of its proper divisors (334741693440).

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

100826880000 is an equidigital number, since it uses as much as digits as its factorization.

100826880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 100826880000 in words is "one hundred billion, eight hundred twenty-six million, eight hundred eighty thousand".