100818257 has 2 divisors, whose sum is σ = 100818258. Its totient is φ = 100818256.

The previous prime is 100818251. The next prime is 100818259. The reversal of 100818257 is 752818001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78074896 + 22743361 = 8836^2 + 4769^2 .

It is a cyclic number.

It is not a de Polignac number, because 100818257 - 2²² = 96623953 is a prime.

Together with 100818259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100818251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50409128 + 50409129.

It is an arithmetic number, because the mean of its divisors is an integer number (50409129).

Almost surely, 2^100818257 is an apocalyptic number.

It is an amenable number.

100818257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100818257 is an equidigital number, since it uses as much as digits as its factorization.

100818257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 100818257 is about 10040.8294976063. The cubic root of 100818257 is about 465.4214501021.

The spelling of 100818257 in words is "one hundred million, eight hundred eighteen thousand, two hundred fifty-seven".