105608357811 has 12 divisors (see below), whose sum is σ = 166413170040. Its totient is φ = 64005065280.

The previous prime is 105608357791. The next prime is 105608357843. The reversal of 105608357811 is 118753806501.

105608357811 is a `hidden beast` number, since 1 + 0 + 5 + 60 + 8 + 3 + 578 + 11 = 666.

It is not a de Polignac number, because 105608357811 - 2⁵ = 105608357779 is a prime.

It is a super-2 number, since 2×105608357811² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105608357011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533375446 + ... + 533375643.

It is an arithmetic number, because the mean of its divisors is an integer number (13867764170).

Almost surely, 2^105608357811 is an apocalyptic number.

105608357811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105608357811 is a deficient number, since it is larger than the sum of its proper divisors (60804812229).

105608357811 is a wasteful number, since it uses less digits than its factorization.

105608357811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066751106 (or 1066751103 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 105608357811 in words is "one hundred five billion, six hundred eight million, three hundred fifty-seven thousand, eight hundred eleven".