100229257 has 2 divisors, whose sum is σ = 100229258. Its totient is φ = 100229256.

The previous prime is 100229221. The next prime is 100229267. The reversal of 100229257 is 752922001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90174016 + 10055241 = 9496^2 + 3171^2 .

It is a cyclic number.

It is not a de Polignac number, because 100229257 - 2¹⁵ = 100196489 is a prime.

It is not a weakly prime, because it can be changed into another prime (100229267) 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, 50114628 + 50114629.

It is an arithmetic number, because the mean of its divisors is an integer number (50114629).

Almost surely, 2^100229257 is an apocalyptic number.

It is an amenable number.

100229257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100229257 is an equidigital number, since it uses as much as digits as its factorization.

100229257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 100229257 is about 10011.4562876736. The cubic root of 100229257 is about 464.5133182206.

The spelling of 100229257 in words is "one hundred million, two hundred twenty-nine thousand, two hundred fifty-seven".