100198612224 has 288 divisors, whose sum is σ = 301855303680. Its totient is φ = 33189212160.

The previous prime is 100198612193. The next prime is 100198612229. The reversal of 100198612224 is 422216891001.

100198612224 is a `hidden beast` number, since 1 + 0 + 0 + 19 + 8 + 612 + 2 + 24 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100198612229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106935084 + ... + 106936020.

Almost surely, 2^100198612224 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 100198612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150927651840).

100198612224 is an abundant number, since it is smaller than the sum of its proper divisors (201656691456).

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

100198612224 is an frugal number, since it uses more digits than its factorization.

100198612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 100198612224 in words is "one hundred billion, one hundred ninety-eight million, six hundred twelve thousand, two hundred twenty-four".