100981847 has 2 divisors, whose sum is σ = 100981848. Its totient is φ = 100981846.

The previous prime is 100981831. The next prime is 100981861. The reversal of 100981847 is 748189001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100981847 - 2⁴ = 100981831 is a prime.

It is equal to p_5814686 and since 100981847 and 5814686 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100981847.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100981877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50490923 + 50490924.

It is an arithmetic number, because the mean of its divisors is an integer number (50490924).

Almost surely, 2^100981847 is an apocalyptic number.

100981847 is a deficient number, since it is larger than the sum of its proper divisors (1).

100981847 is an equidigital number, since it uses as much as digits as its factorization.

100981847 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 100981847 is about 10048.9724350304. The cubic root of 100981847 is about 465.6730485497.

The spelling of 100981847 in words is "one hundred million, nine hundred eighty-one thousand, eight hundred forty-seven".