105010632817 has 2 divisors, whose sum is σ = 105010632818. Its totient is φ = 105010632816.

The previous prime is 105010632791. The next prime is 105010632851. The reversal of 105010632817 is 718236010501.

It is a happy number.

It is an a-pointer prime, because the next prime (105010632851) can be obtained adding 105010632817 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104821185121 + 189447696 = 323761^2 + 13764^2 .

It is a cyclic number.

It is not a de Polignac number, because 105010632817 - 2²³ = 105002244209 is a prime.

It is a super-2 number, since 2×105010632817² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105010632917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505316408 + 52505316409.

It is an arithmetic number, because the mean of its divisors is an integer number (52505316409).

Almost surely, 2^105010632817 is an apocalyptic number.

It is an amenable number.

105010632817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010632817 is an equidigital number, since it uses as much as digits as its factorization.

105010632817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 105010632817 in words is "one hundred five billion, ten million, six hundred thirty-two thousand, eight hundred seventeen".