100984841 has 2 divisors, whose sum is σ = 100984842. Its totient is φ = 100984840.

The previous prime is 100984817. The next prime is 100984843. The reversal of 100984841 is 148489001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51423241 + 49561600 = 7171^2 + 7040^2 .

It is an emirp because it is prime and its reverse (148489001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100984841 - 2¹⁸ = 100722697 is a prime.

It is a super-2 number, since 2×100984841² = 20395876223590562, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 100984843, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100984843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50492420 + 50492421.

It is an arithmetic number, because the mean of its divisors is an integer number (50492421).

Almost surely, 2^100984841 is an apocalyptic number.

It is an amenable number.

100984841 is a deficient number, since it is larger than the sum of its proper divisors (1).

100984841 is an equidigital number, since it uses as much as digits as its factorization.

100984841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 100984841 is about 10049.1214043816. The cubic root of 100984841 is about 465.6776507344.

The spelling of 100984841 in words is "one hundred million, nine hundred eighty-four thousand, eight hundred forty-one".