100098504000 has 1344 divisors, whose sum is σ = 420924801024. Its totient is φ = 23328000000.

The previous prime is 100098503993. The next prime is 100098504043. The reversal of 100098504000 is 405890001.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 662903925 + ... + 662904075.

It is an arithmetic number, because the mean of its divisors is an integer number (313188096).

Almost surely, 2^100098504000 is an apocalyptic number.

100098504000 is a gapful number since it is divisible by the number (10) 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 100098504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210462400512).

100098504000 is an abundant number, since it is smaller than the sum of its proper divisors (320826297024).

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

100098504000 is a wasteful number, since it uses less digits than its factorization.

100098504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 100098504000 in words is "one hundred billion, ninety-eight million, five hundred four thousand".