105880417 has 2 divisors, whose sum is σ = 105880418. Its totient is φ = 105880416.

The previous prime is 105880393. The next prime is 105880451. The reversal of 105880417 is 714088501.

It is an a-pointer prime, because the next prime (105880451) can be obtained adding 105880417 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., 65545216 + 40335201 = 8096^2 + 6351^2 .

It is a cyclic number.

It is not a de Polignac number, because 105880417 - 2⁷ = 105880289 is a prime.

It is a super-2 number, since 2×105880417² = 22421325408187778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105880487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52940208 + 52940209.

It is an arithmetic number, because the mean of its divisors is an integer number (52940209).

Almost surely, 2^105880417 is an apocalyptic number.

It is an amenable number.

105880417 is a deficient number, since it is larger than the sum of its proper divisors (1).

105880417 is an equidigital number, since it uses as much as digits as its factorization.

105880417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 105880417 is about 10289.8210382883. The cubic root of 105880417 is about 473.0843131827.

The spelling of 105880417 in words is "one hundred five million, eight hundred eighty thousand, four hundred seventeen".