100889216843520 has 864 divisors, whose sum is σ = 385874001515520. Its totient is φ = 22001791795200.

The previous prime is 100889216843507. The next prime is 100889216843531. The reversal of 100889216843520 is 25348612988001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1834021776 + ... + 1834076784.

It is an arithmetic number, because the mean of its divisors is an integer number (446613427680).

Almost surely, 2^{100889216843520} is an apocalyptic number.

100889216843520 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 100889216843520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192937000757760).

100889216843520 is an abundant number, since it is smaller than the sum of its proper divisors (284984784672000).

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

100889216843520 is an equidigital number, since it uses as much as digits as its factorization.

100889216843520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55173 (or 55128 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 100889216843520 in words is "one hundred trillion, eight hundred eighty-nine billion, two hundred sixteen million, eight hundred forty-three thousand, five hundred twenty".