105301405111 has 16 divisors (see below), whose sum is σ = 120679796736. Its totient is φ = 90007194816.

The previous prime is 105301405109. The next prime is 105301405169. The reversal of 105301405111 is 111504103501.

It is not a de Polignac number, because 105301405111 - 2¹ = 105301405109 is a prime.

It is a super-3 number, since 3×105301405111³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105301405171) 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, 3817210 + ... + 3844696.

It is an arithmetic number, because the mean of its divisors is an integer number (7542487296).

Almost surely, 2^105301405111 is an apocalyptic number.

105301405111 is a deficient number, since it is larger than the sum of its proper divisors (15378391625).

105301405111 is an equidigital number, since it uses as much as digits as its factorization.

105301405111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28998.

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 105301405111 its reverse (111504103501), we get a palindrome (216805508612).

The spelling of 105301405111 in words is "one hundred five billion, three hundred one million, four hundred five thousand, one hundred eleven".