100938217 has 2 divisors, whose sum is σ = 100938218. Its totient is φ = 100938216.

The previous prime is 100938199. The next prime is 100938287. The reversal of 100938217 is 712839001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65464281 + 35473936 = 8091^2 + 5956^2 .

It is a cyclic number.

It is not a de Polignac number, because 100938217 - 2¹⁵ = 100905449 is a prime.

It is a super-2 number, since 2×100938217² = 20377047302278178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100938287) 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, 50469108 + 50469109.

It is an arithmetic number, because the mean of its divisors is an integer number (50469109).

Almost surely, 2^100938217 is an apocalyptic number.

It is an amenable number.

100938217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100938217 is an equidigital number, since it uses as much as digits as its factorization.

100938217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 100938217 is about 10046.8013317672. The cubic root of 100938217 is about 465.6059729895.

The spelling of 100938217 in words is "one hundred million, nine hundred thirty-eight thousand, two hundred seventeen".