105111515016 has 24 divisors (see below), whose sum is σ = 284677020030. Its totient is φ = 35037171648.

The previous prime is 105111514993. The next prime is 105111515027. The reversal of 105111515016 is 610515111501.

105111515016 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 151 + 501 + 6 = 666.

105111515016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 67574002500 + 37537512516 = 259950^2 + 193746^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105111515016² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729941005 + ... + 729941148.

Almost surely, 2^105111515016 is an apocalyptic number.

It is an amenable number.

105111515016 is an abundant number, since it is smaller than the sum of its proper divisors (179565505014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105111515016 is a wasteful number, since it uses less digits than its factorization.

105111515016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459882165 (or 1459882158 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 105111515016 its reverse (610515111501), we get a palindrome (715626626517).

The spelling of 105111515016 in words is "one hundred five billion, one hundred eleven million, five hundred fifteen thousand, sixteen".