100006757 has 2 divisors, whose sum is σ = 100006758. Its totient is φ = 100006756.

The previous prime is 100006729. The next prime is 100006759. The reversal of 100006757 is 757600001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81739681 + 18267076 = 9041^2 + 4274^2 .

It is an emirp because it is prime and its reverse (757600001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100006757 - 2⁶ = 100006693 is a prime.

Together with 100006759, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100006759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50003378 + 50003379.

It is an arithmetic number, because the mean of its divisors is an integer number (50003379).

Almost surely, 2^100006757 is an apocalyptic number.

It is an amenable number.

100006757 is a deficient number, since it is larger than the sum of its proper divisors (1).

100006757 is an equidigital number, since it uses as much as digits as its factorization.

100006757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 100006757 is about 10000.3378442931. The cubic root of 100006757 is about 464.1693375311.

Adding to 100006757 its reverse (757600001), we get a palindrome (857606758).

The spelling of 100006757 in words is "one hundred million, six thousand, seven hundred fifty-seven".