100091881 has 2 divisors, whose sum is σ = 100091882. Its totient is φ = 100091880.

The previous prime is 100091857. The next prime is 100091891. The reversal of 100091881 is 188190001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60590656 + 39501225 = 7784^2 + 6285^2 .

It is an emirp because it is prime and its reverse (188190001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100091881 - 2¹³ = 100083689 is a prime.

It is a super-3 number, since 3×100091881³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100091851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50045940 + 50045941.

It is an arithmetic number, because the mean of its divisors is an integer number (50045941).

Almost surely, 2^100091881 is an apocalyptic number.

It is an amenable number.

100091881 is a deficient number, since it is larger than the sum of its proper divisors (1).

100091881 is an equidigital number, since it uses as much as digits as its factorization.

100091881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 28.

The square root of 100091881 is about 10004.5929952197. The cubic root of 100091881 is about 464.3009977860.

The spelling of 100091881 in words is "one hundred million, ninety-one thousand, eight hundred eighty-one".