105864397911 has 12 divisors (see below), whose sum is σ = 155507025960. Its totient is φ = 69380057040.

The previous prime is 105864397897. The next prime is 105864397931. The reversal of 105864397911 is 119793468501.

105864397911 is a `hidden beast` number, since 1 + 0 + 586 + 43 + 9 + 7 + 9 + 11 = 666.

It is not a de Polignac number, because 105864397911 - 2⁷ = 105864397783 is a prime.

It is a super-2 number, since 2×105864397911² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105864397931) 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, 99683460 + ... + 99684521.

It is an arithmetic number, because the mean of its divisors is an integer number (12958918830).

Almost surely, 2^105864397911 is an apocalyptic number.

105864397911 is a deficient number, since it is larger than the sum of its proper divisors (49642628049).

105864397911 is a wasteful number, since it uses less digits than its factorization.

105864397911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199368046 (or 199368043 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 105864397911 in words is "one hundred five billion, eight hundred sixty-four million, three hundred ninety-seven thousand, nine hundred eleven".