89088830100 has 252 divisors, whose sum is σ = 290949932700. Its totient is φ = 23667033600.

The previous prime is 89088830071. The next prime is 89088830101. The reversal of 89088830100 is 103888098.

It can be written as a sum of positive squares in 6 ways, for example, as 11629034244 + 77459795856 = 107838^2 + 278316^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89088830101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 20482726 + ... + 20487074.

It is an arithmetic number, because the mean of its divisors is an integer number (1154563225).

Almost surely, 2^89088830100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89088830100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145474966350).

89088830100 is an abundant number, since it is smaller than the sum of its proper divisors (201861102600).

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

89088830100 is a wasteful number, since it uses less digits than its factorization.

89088830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 89088830100 in words is "eighty-nine billion, eighty-eight million, eight hundred thirty thousand, one hundred".