100188041 has 2 divisors, whose sum is σ = 100188042. Its totient is φ = 100188040.

The previous prime is 100188031. The next prime is 100188091. The reversal of 100188041 is 140881001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59598400 + 40589641 = 7720^2 + 6371^2 .

It is an emirp because it is prime and its reverse (140881001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100188041 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100187998 and 100188016.

It is not a weakly prime, because it can be changed into another prime (100188031) 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 as a sum of consecutive naturals, namely, 50094020 + 50094021.

It is an arithmetic number, because the mean of its divisors is an integer number (50094021).

Almost surely, 2^100188041 is an apocalyptic number.

It is an amenable number.

100188041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100188041 is an equidigital number, since it uses as much as digits as its factorization.

100188041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 100188041 is about 10009.3976342236. The cubic root of 100188041 is about 464.4496375270.

The spelling of 100188041 in words is "one hundred million, one hundred eighty-eight thousand, forty-one".