98981142900 has 144 divisors (see below), whose sum is σ = 287672837760. Its totient is φ = 26276659200.

The previous prime is 98981142899. The next prime is 98981142929. The reversal of 98981142900 is 924118989.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 112350460 + ... + 112351340.

It is an arithmetic number, because the mean of its divisors is an integer number (1997728040).

Almost surely, 2^98981142900 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 98981142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143836418880).

98981142900 is an abundant number, since it is smaller than the sum of its proper divisors (188691694860).

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

98981142900 is a wasteful number, since it uses less digits than its factorization.

98981142900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 98981142900 in words is "ninety-eight billion, nine hundred eighty-one million, one hundred forty-two thousand, nine hundred".