100545257 has 2 divisors, whose sum is σ = 100545258. Its totient is φ = 100545256.

The previous prime is 100545229. The next prime is 100545271. The reversal of 100545257 is 752545001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71503936 + 29041321 = 8456^2 + 5389^2 .

It is a cyclic number.

It is not a de Polignac number, because 100545257 - 2¹⁴ = 100528873 is a prime.

It is equal to p_5791043 and since 100545257 and 5791043 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (100545227) 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, 50272628 + 50272629.

It is an arithmetic number, because the mean of its divisors is an integer number (50272629).

Almost surely, 2^100545257 is an apocalyptic number.

It is an amenable number.

100545257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100545257 is an equidigital number, since it uses as much as digits as its factorization.

100545257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 100545257 is about 10027.2257878239. The cubic root of 100545257 is about 465.0009742917. Note that the first 3 decimals are identical.

The spelling of 100545257 in words is "one hundred million, five hundred forty-five thousand, two hundred fifty-seven".