105198471 has 12 divisors (see below), whose sum is σ = 173661072. Its totient is φ = 60113376.

The previous prime is 105198461. The next prime is 105198473. The reversal of 105198471 is 174891501.

It is not a de Polignac number, because 105198471 - 2¹⁰ = 105197447 is a prime.

It is a super-3 number, since 3×105198471³ (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 an unprimeable number, because it can be changed into a prime (105198473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834846 + ... + 834971.

It is an arithmetic number, because the mean of its divisors is an integer number (14471756).

Almost surely, 2^105198471 is an apocalyptic number.

105198471 is a deficient number, since it is larger than the sum of its proper divisors (68462601).

105198471 is a wasteful number, since it uses less digits than its factorization.

105198471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669830 (or 1669827 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 105198471 is about 10256.6305870885. The cubic root of 105198471 is about 472.0664571152.

The spelling of 105198471 in words is "one hundred five million, one hundred ninety-eight thousand, four hundred seventy-one".