984149000100 has 216 divisors, whose sum is σ = 3526132646400. Its totient is φ = 224904176640.

The previous prime is 984148999993. The next prime is 984149000119. The reversal of 984149000100 is 1000941489.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40616589 + ... + 40640811.

Almost surely, 2^984149000100 is an apocalyptic number.

984149000100 is a gapful number since it is divisible by the number (90) 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 984149000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763066323200).

984149000100 is an abundant number, since it is smaller than the sum of its proper divisors (2541983646300).

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

984149000100 is a wasteful number, since it uses less digits than its factorization.

984149000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30699 (or 30689 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 984149000100 its reverse (1000941489), we get a palindrome (985149941589).

The spelling of 984149000100 in words is "nine hundred eighty-four billion, one hundred forty-nine million, one hundred", and thus it is an aban number.