111105013 has 16 divisors (see below), whose sum is σ = 120547440. Its totient is φ = 102009856.

The previous prime is 111105011. The next prime is 111105017. The reversal of 111105013 is 310501111.

It can be written as a sum of positive squares in 8 ways, for example, as 2486929 + 108618084 = 1577^2 + 10422^2 .

It is a cyclic number.

It is not a de Polignac number, because 111105013 - 2¹ = 111105011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111104984 and 111105002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111105011) 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, 285423 + ... + 285811.

It is an arithmetic number, because the mean of its divisors is an integer number (7534215).

Almost surely, 2^111105013 is an apocalyptic number.

It is an amenable number.

111105013 is a deficient number, since it is larger than the sum of its proper divisors (9442427).

111105013 is a wasteful number, since it uses less digits than its factorization.

111105013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776.

The product of its (nonzero) digits is 15, while the sum is 13.

The square root of 111105013 is about 10540.6362711176. The cubic root of 111105013 is about 480.7410616101.

Adding to 111105013 its reverse (310501111), we get a palindrome (421606124).

The spelling of 111105013 in words is "one hundred eleven million, one hundred five thousand, thirteen".