105407811 has 12 divisors (see below), whose sum is σ = 157895192. Its totient is φ = 70271712.

The previous prime is 105407789. The next prime is 105407821. The reversal of 105407811 is 118704501.

It is not a de Polignac number, because 105407811 - 2⁶ = 105407747 is a prime.

It is a super-2 number, since 2×105407811² = 22221613239623442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105407821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216646 + ... + 217131.

Almost surely, 2^105407811 is an apocalyptic number.

105407811 is a deficient number, since it is larger than the sum of its proper divisors (52487381).

105407811 is an frugal number, since it uses more digits than its factorization.

105407811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433792 (or 433780 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 105407811 is about 10266.8306209852. The cubic root of 105407811 is about 472.3793796414.

The spelling of 105407811 in words is "one hundred five million, four hundred seven thousand, eight hundred eleven".