100856417 has 2 divisors, whose sum is σ = 100856418. Its totient is φ = 100856416.

The previous prime is 100856341. The next prime is 100856443. The reversal of 100856417 is 714658001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91221601 + 9634816 = 9551^2 + 3104^2 .

It is a cyclic number.

It is not a de Polignac number, because 100856417 - 2¹⁰ = 100855393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100850417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50428208 + 50428209.

It is an arithmetic number, because the mean of its divisors is an integer number (50428209).

Almost surely, 2^100856417 is an apocalyptic number.

It is an amenable number.

100856417 is a deficient number, since it is larger than the sum of its proper divisors (1).

100856417 is an equidigital number, since it uses as much as digits as its factorization.

100856417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 100856417 is about 10042.7295592384. The cubic root of 100856417 is about 465.4801638137.

The spelling of 100856417 in words is "one hundred million, eight hundred fifty-six thousand, four hundred seventeen".