100010605517 has 2 divisors, whose sum is σ = 100010605518. Its totient is φ = 100010605516.

The previous prime is 100010605489. The next prime is 100010605523. The reversal of 100010605517 is 715506010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96528897481 + 3481708036 = 310691^2 + 59006^2 .

It is an emirp because it is prime and its reverse (715506010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010605517 - 2¹⁰ = 100010604493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010605567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005302758 + 50005302759.

It is an arithmetic number, because the mean of its divisors is an integer number (50005302759).

Almost surely, 2^100010605517 is an apocalyptic number.

It is an amenable number.

100010605517 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010605517 is an equidigital number, since it uses as much as digits as its factorization.

100010605517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 100010605517 its reverse (715506010001), we get a palindrome (815516615518).

The spelling of 100010605517 in words is "one hundred billion, ten million, six hundred five thousand, five hundred seventeen".