105605671 has 2 divisors, whose sum is σ = 105605672. Its totient is φ = 105605670.

The previous prime is 105605657. The next prime is 105605681. The reversal of 105605671 is 176506501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105605671 - 2⁵ = 105605639 is a prime.

It is a super-3 number, since 3×105605671³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105605611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52802835 + 52802836.

It is an arithmetic number, because the mean of its divisors is an integer number (52802836).

Almost surely, 2^105605671 is an apocalyptic number.

105605671 is a deficient number, since it is larger than the sum of its proper divisors (1).

105605671 is an equidigital number, since it uses as much as digits as its factorization.

105605671 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 105605671 is about 10276.4619884472. The cubic root of 105605671 is about 472.6747611801.

It can be divided in two parts, 105605 and 671, that added together give a square (106276 = 326²).

The spelling of 105605671 in words is "one hundred five million, six hundred five thousand, six hundred seventy-one".