105858817 has 2 divisors, whose sum is σ = 105858818. Its totient is φ = 105858816.

The previous prime is 105858793. The next prime is 105858829. The reversal of 105858817 is 718858501.

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., 61449921 + 44408896 = 7839^2 + 6664^2 .

It is an emirp because it is prime and its reverse (718858501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105858817 is a prime.

It is a super-2 number, since 2×105858817² = 22412178273278978, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105858877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52929408 + 52929409.

It is an arithmetic number, because the mean of its divisors is an integer number (52929409).

Almost surely, 2^105858817 is an apocalyptic number.

It is an amenable number.

105858817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105858817 is an equidigital number, since it uses as much as digits as its factorization.

105858817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 89600, while the sum is 43.

The square root of 105858817 is about 10288.7714038169. The cubic root of 105858817 is about 473.0521406733.

The spelling of 105858817 in words is "one hundred five million, eight hundred fifty-eight thousand, eight hundred seventeen".