100468282880 has 240 divisors, whose sum is σ = 286195985856. Its totient is φ = 33711390720.

The previous prime is 100468282877. The next prime is 100468282903. The reversal of 100468282880 is 88282864001.

100468282880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

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 23 ways as a sum of consecutive naturals, for example, 5887160 + ... + 5904200.

Almost surely, 2^100468282880 is an apocalyptic number.

100468282880 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 100468282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143097992928).

100468282880 is an abundant number, since it is smaller than the sum of its proper divisors (185727702976).

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

100468282880 is an equidigital number, since it uses as much as digits as its factorization.

100468282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17125 (or 17102 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 47.

The spelling of 100468282880 in words is "one hundred billion, four hundred sixty-eight million, two hundred eighty-two thousand, eight hundred eighty".