105640241211 has 12 divisors (see below), whose sum is σ = 152833292560. Its totient is φ = 70315212240.

The previous prime is 105640241177. The next prime is 105640241233. The reversal of 105640241211 is 112142046501.

105640241211 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 402 + 41 + 211 = 666.

It is not a de Polignac number, because 105640241211 - 2¹⁷ = 105640110139 is a prime.

It is a super-2 number, since 2×105640241211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105640241251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9295276 + ... + 9306633.

Almost surely, 2^105640241211 is an apocalyptic number.

105640241211 is a deficient number, since it is larger than the sum of its proper divisors (47193051349).

105640241211 is a wasteful number, since it uses less digits than its factorization.

105640241211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18602546 (or 18602543 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 105640241211 its reverse (112142046501), we get a palindrome (217782287712).

The spelling of 105640241211 in words is "one hundred five billion, six hundred forty million, two hundred forty-one thousand, two hundred eleven".