105815806811 has 16 divisors (see below), whose sum is σ = 124857972960. Its totient is φ = 88408696320.

The previous prime is 105815806801. The next prime is 105815806843. The reversal of 105815806811 is 118608518501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105815806811 is a prime.

It is a super-2 number, since 2×105815806811² (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 (105815806801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1582910 + ... + 1648403.

It is an arithmetic number, because the mean of its divisors is an integer number (7803623310).

Almost surely, 2^105815806811 is an apocalyptic number.

105815806811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105815806811 is a deficient number, since it is larger than the sum of its proper divisors (19042166149).

105815806811 is a wasteful number, since it uses less digits than its factorization.

105815806811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231566.

The product of its (nonzero) digits is 76800, while the sum is 44.

The spelling of 105815806811 in words is "one hundred five billion, eight hundred fifteen million, eight hundred six thousand, eight hundred eleven".