105080811 has 16 divisors (see below), whose sum is σ = 160890240. Its totient is φ = 60333120.

The previous prime is 105080771. The next prime is 105080819. The reversal of 105080811 is 118080501.

It is not a de Polignac number, because 105080811 - 2⁶ = 105080747 is a prime.

It is a super-2 number, since 2×105080811² = 22083953680835442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105080819) 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, 83170 + ... + 84423.

It is an arithmetic number, because the mean of its divisors is an integer number (10055640).

Almost surely, 2^105080811 is an apocalyptic number.

105080811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105080811 is a deficient number, since it is larger than the sum of its proper divisors (55809429).

105080811 is a wasteful number, since it uses less digits than its factorization.

105080811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167626.

The product of its (nonzero) digits is 320, while the sum is 24.

The square root of 105080811 is about 10250.8931805965. The cubic root of 105080811 is about 471.8903960651.

The spelling of 105080811 in words is "one hundred five million, eighty thousand, eight hundred eleven".