100091749 has 2 divisors, whose sum is σ = 100091750. Its totient is φ = 100091748.

The previous prime is 100091711. The next prime is 100091773. The reversal of 100091749 is 947190001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82029249 + 18062500 = 9057^2 + 4250^2 .

It is a cyclic number.

It is not a de Polignac number, because 100091749 - 2⁹ = 100091237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100091749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100091779) 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, 50045874 + 50045875.

It is an arithmetic number, because the mean of its divisors is an integer number (50045875).

Almost surely, 2^100091749 is an apocalyptic number.

It is an amenable number.

100091749 is a deficient number, since it is larger than the sum of its proper divisors (1).

100091749 is an equidigital number, since it uses as much as digits as its factorization.

100091749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 100091749 is about 10004.5863982476. The cubic root of 100091749 is about 464.3007936810.

The spelling of 100091749 in words is "one hundred million, ninety-one thousand, seven hundred forty-nine".