100772317 has 2 divisors, whose sum is σ = 100772318. Its totient is φ = 100772316.

The previous prime is 100772281. The next prime is 100772363. The reversal of 100772317 is 713277001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73513476 + 27258841 = 8574^2 + 5221^2 .

It is an emirp because it is prime and its reverse (713277001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100772317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100773317) 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, 50386158 + 50386159.

It is an arithmetic number, because the mean of its divisors is an integer number (50386159).

Almost surely, 2^100772317 is an apocalyptic number.

It is an amenable number.

100772317 is a deficient number, since it is larger than the sum of its proper divisors (1).

100772317 is an equidigital number, since it uses as much as digits as its factorization.

100772317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 100772317 is about 10038.5415773408. The cubic root of 100772317 is about 465.3507462748.

The spelling of 100772317 in words is "one hundred million, seven hundred seventy-two thousand, three hundred seventeen".