105872017 has 2 divisors, whose sum is σ = 105872018. Its totient is φ = 105872016.

The previous prime is 105872003. The next prime is 105872029. The reversal of 105872017 is 710278501.

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., 105698961 + 173056 = 10281^2 + 416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105872017 is a prime.

It is a super-2 number, since 2×105872017² = 22417767967296578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105872017.

It is not a weakly prime, because it can be changed into another prime (105872057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52936008 + 52936009.

It is an arithmetic number, because the mean of its divisors is an integer number (52936009).

Almost surely, 2^105872017 is an apocalyptic number.

It is an amenable number.

105872017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105872017 is an equidigital number, since it uses as much as digits as its factorization.

105872017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 105872017 is about 10289.4128598283. The cubic root of 105872017 is about 473.0718021712.

The spelling of 105872017 in words is "one hundred five million, eight hundred seventy-two thousand, seventeen".