100898784000 has 1440 divisors, whose sum is σ = 440766982656. Its totient is φ = 22444646400.

The previous prime is 100898783983. The next prime is 100898784001. The reversal of 100898784000 is 487898001.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×100898784000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100898784001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1215647959 + ... + 1215648041.

Almost surely, 2^100898784000 is an apocalyptic number.

100898784000 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 100898784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220383491328).

100898784000 is an abundant number, since it is smaller than the sum of its proper divisors (339868198656).

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

100898784000 is an frugal number, since it uses more digits than its factorization.

100898784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 100898784000 in words is "one hundred billion, eight hundred ninety-eight million, seven hundred eighty-four thousand".