100126517 has 2 divisors, whose sum is σ = 100126518. Its totient is φ = 100126516.

The previous prime is 100126493. The next prime is 100126519. The reversal of 100126517 is 715621001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95082001 + 5044516 = 9751^2 + 2246^2 .

It is a cyclic number.

It is not a de Polignac number, because 100126517 - 2¹⁴ = 100110133 is a prime.

Together with 100126519, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100126492 and 100126501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100126519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50063258 + 50063259.

It is an arithmetic number, because the mean of its divisors is an integer number (50063259).

Almost surely, 2^100126517 is an apocalyptic number.

It is an amenable number.

100126517 is a deficient number, since it is larger than the sum of its proper divisors (1).

100126517 is an equidigital number, since it uses as much as digits as its factorization.

100126517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 100126517 is about 10006.3238504458. The cubic root of 100126517 is about 464.3545474998.

Adding to 100126517 its reverse (715621001), we get a palindrome (815747518).

The spelling of 100126517 in words is "one hundred million, one hundred twenty-six thousand, five hundred seventeen".