100106711 has 2 divisors, whose sum is σ = 100106712. Its totient is φ = 100106710.

The previous prime is 100106683. The next prime is 100106723. The reversal of 100106711 is 117601001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100106711 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100106711.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102711) 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, 50053355 + 50053356.

It is an arithmetic number, because the mean of its divisors is an integer number (50053356).

Almost surely, 2^100106711 is an apocalyptic number.

100106711 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106711 is an equidigital number, since it uses as much as digits as its factorization.

100106711 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 100106711 is about 10005.3341273543. The cubic root of 100106711 is about 464.3239275304.

Adding to 100106711 its reverse (117601001), we get a palindrome (217707712).

The spelling of 100106711 in words is "one hundred million, one hundred six thousand, seven hundred eleven".