105111405513 has 40 divisors (see below), whose sum is σ = 160728365600. Its totient is φ = 68419717632.

The previous prime is 105111405499. The next prime is 105111405521. The reversal of 105111405513 is 315504111501.

105111405513 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 140 + 5 + 513 = 666.

It is not a de Polignac number, because 105111405513 - 2²⁶ = 105044296649 is a prime.

It is a super-2 number, since 2×105111405513² (a number of 23 digits) 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 (105111405713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18871593 + ... + 18877161.

It is an arithmetic number, because the mean of its divisors is an integer number (4018209140).

Almost surely, 2^105111405513 is an apocalyptic number.

It is an amenable number.

105111405513 is a deficient number, since it is larger than the sum of its proper divisors (55616960087).

105111405513 is an equidigital number, since it uses as much as digits as its factorization.

105111405513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11043 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 105111405513 in words is "one hundred five billion, one hundred eleven million, four hundred five thousand, five hundred thirteen".