105186541 has 2 divisors, whose sum is σ = 105186542. Its totient is φ = 105186540.

The previous prime is 105186539. The next prime is 105186547. The reversal of 105186541 is 145681501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105144516 + 42025 = 10254^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 105186541 - 2¹ = 105186539 is a prime.

It is a super-2 number, since 2×105186541² = 22128416815089362, which contains 22 as substring.

Together with 105186539, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105186547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52593270 + 52593271.

It is an arithmetic number, because the mean of its divisors is an integer number (52593271).

Almost surely, 2^105186541 is an apocalyptic number.

It is an amenable number.

105186541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105186541 is an equidigital number, since it uses as much as digits as its factorization.

105186541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 105186541 is about 10256.0489955928. The cubic root of 105186541 is about 472.0486115905.

The spelling of 105186541 in words is "one hundred five million, one hundred eighty-six thousand, five hundred forty-one".