100198907357472 has 288 divisors, whose sum is σ = 355390569031680. Its totient is φ = 26015441333760.

The previous prime is 100198907357401. The next prime is 100198907357581. The reversal of 100198907357472 is 274753709891001.

100198907357472 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 8 + 90 + 73 + 5 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55505179 + ... + 57281957.

It is an arithmetic number, because the mean of its divisors is an integer number (1233995031360).

Almost surely, 2^{100198907357472} is an apocalyptic number.

100198907357472 is a gapful number since it is divisible by the number (12) 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 100198907357472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177695284515840).

100198907357472 is an abundant number, since it is smaller than the sum of its proper divisors (255191661674208).

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

100198907357472 is a wasteful number, since it uses less digits than its factorization.

100198907357472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779356 (or 1779345 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 100198907357472 in words is "one hundred trillion, one hundred ninety-eight billion, nine hundred seven million, three hundred fifty-seven thousand, four hundred seventy-two".