105641979471 has 24 divisors (see below), whose sum is σ = 174748339584. Its totient is φ = 60243881040.

The previous prime is 105641979463. The next prime is 105641979511. The reversal of 105641979471 is 174979146501.

It is a happy number.

105641979471 is a `hidden beast` number, since 1 + 0 + 564 + 1 + 9 + 7 + 9 + 4 + 71 = 666.

It is not a de Polignac number, because 105641979471 - 2³ = 105641979463 is a prime.

It is a super-3 number, since 3×105641979471³ (a number of 34 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 (105641979461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676661 + ... + 1738526.

It is an arithmetic number, because the mean of its divisors is an integer number (7281180816).

Almost surely, 2^105641979471 is an apocalyptic number.

105641979471 is a deficient number, since it is larger than the sum of its proper divisors (69106360113).

105641979471 is a wasteful number, since it uses less digits than its factorization.

105641979471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415691 (or 3415688 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 105641979471 in words is "one hundred five billion, six hundred forty-one million, nine hundred seventy-nine thousand, four hundred seventy-one".