100198937 has 2 divisors, whose sum is σ = 100198938. Its totient is φ = 100198936.

The previous prime is 100198927. The next prime is 100198961. The reversal of 100198937 is 739891001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77721856 + 22477081 = 8816^2 + 4741^2 .

It is a cyclic number.

It is not a de Polignac number, because 100198937 - 2¹² = 100194841 is a prime.

It is a super-4 number, since 4×100198937⁴ (a number of 33 digits) contains 4444 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100198937.

It is not a weakly prime, because it can be changed into another prime (100198907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50099468 + 50099469.

It is an arithmetic number, because the mean of its divisors is an integer number (50099469).

Almost surely, 2^100198937 is an apocalyptic number.

It is an amenable number.

100198937 is a deficient number, since it is larger than the sum of its proper divisors (1).

100198937 is an equidigital number, since it uses as much as digits as its factorization.

100198937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 100198937 is about 10009.9419079233. The cubic root of 100198937 is about 464.4664740667.

The spelling of 100198937 in words is "one hundred million, one hundred ninety-eight thousand, nine hundred thirty-seven".