100072769 has 2 divisors, whose sum is σ = 100072770. Its totient is φ = 100072768.

The previous prime is 100072733. The next prime is 100072783. The reversal of 100072769 is 967270001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62410000 + 37662769 = 7900^2 + 6137^2 .

It is a cyclic number.

It is not a de Polignac number, because 100072769 - 2¹⁶ = 100007233 is a prime.

It is a super-2 number, since 2×100072769² = 20029118190654722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100075769) 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, 50036384 + 50036385.

It is an arithmetic number, because the mean of its divisors is an integer number (50036385).

Almost surely, 2^100072769 is an apocalyptic number.

It is an amenable number.

100072769 is a deficient number, since it is larger than the sum of its proper divisors (1).

100072769 is an equidigital number, since it uses as much as digits as its factorization.

100072769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 100072769 is about 10003.6377883248. The cubic root of 100072769 is about 464.2714439886.

The spelling of 100072769 in words is "one hundred million, seventy-two thousand, seven hundred sixty-nine".