105413311 has 16 divisors (see below), whose sum is σ = 119266560. Its totient is φ = 92568960.

The previous prime is 105413261. The next prime is 105413317. The reversal of 105413311 is 113314501.

It is a cyclic number.

It is not a de Polignac number, because 105413311 - 2¹⁹ = 104889023 is a prime.

It is a super-2 number, since 2×105413311² = 22223932271965442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413317) 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, 19206 + ... + 24076.

It is an arithmetic number, because the mean of its divisors is an integer number (7454160).

Almost surely, 2^105413311 is an apocalyptic number.

105413311 is a deficient number, since it is larger than the sum of its proper divisors (13853249).

105413311 is a wasteful number, since it uses less digits than its factorization.

105413311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105413311 is about 10267.0984703567. The cubic root of 105413311 is about 472.3875954822.

Adding to 105413311 its reverse (113314501), we get a palindrome (218727812).

It can be divided in two parts, 1054 and 13311, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 105413311 in words is "one hundred five million, four hundred thirteen thousand, three hundred eleven".