100198132 has 24 divisors (see below), whose sum is σ = 182153160. Its totient is φ = 48168960.

The previous prime is 100198123. The next prime is 100198151. The reversal of 100198132 is 231891001.

It can be written as a sum of positive squares in 4 ways, for example, as 58155876 + 42042256 = 7626^2 + 6484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100198097 and 100198106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28132 + ... + 31492.

It is an arithmetic number, because the mean of its divisors is an integer number (7589715).

Almost surely, 2^100198132 is an apocalyptic number.

It is an amenable number.

100198132 is a deficient number, since it is larger than the sum of its proper divisors (81955028).

100198132 is a wasteful number, since it uses less digits than its factorization.

100198132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 100198132 is about 10009.9016978190. The cubic root of 100198132 is about 464.4652302195.

The spelling of 100198132 in words is "one hundred million, one hundred ninety-eight thousand, one hundred thirty-two".