89488720100 has 36 divisors (see below), whose sum is σ = 209128258164. Its totient is φ = 33041988480.

The previous prime is 89488720063. The next prime is 89488720157. The reversal of 89488720100 is 102788498.

It can be written as a sum of positive squares in 6 ways, for example, as 10927357156 + 78561362944 = 104534^2 + 280288^2 .

It is a super-3 number, since 3×89488720100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34417439 + ... + 34420038.

Almost surely, 2^89488720100 is an apocalyptic number.

It is an amenable number.

89488720100 is an abundant number, since it is smaller than the sum of its proper divisors (119639538064).

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

89488720100 is a wasteful number, since it uses less digits than its factorization.

89488720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68837504 (or 68837497 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 89488720100 in words is "eighty-nine billion, four hundred eighty-eight million, seven hundred twenty thousand, one hundred".