89100000198 has 72 divisors (see below), whose sum is σ = 212541474600. Its totient is φ = 26955973440.

The previous prime is 89100000193. The next prime is 89100000203.

89100000198 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (89100000193) and next prime (89100000203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89100000193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1315138 + ... + 1381226.

It is an arithmetic number, because the mean of its divisors is an integer number (2951964925).

Almost surely, 2^89100000198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89100000198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106270737300).

89100000198 is an abundant number, since it is smaller than the sum of its proper divisors (123441474402).

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

89100000198 is a wasteful number, since it uses less digits than its factorization.

89100000198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66738 (or 66724 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

It can be divided in two parts, 89100000 and 198, that added together give a palindrome (89100198).

The spelling of 89100000198 in words is "eighty-nine billion, one hundred million, one hundred ninety-eight", and thus it is an aban number.