105356515113 has 12 divisors (see below), whose sum is σ = 153688383108. Its totient is φ = 69542253600.

The previous prime is 105356515111. The next prime is 105356515129. The reversal of 105356515113 is 311515653501.

105356515113 is a `hidden beast` number, since 1 + 0 + 535 + 6 + 5 + 1 + 5 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42810506649 + 62546008464 = 206907^2 + 250092^2 .

It is not a de Polignac number, because 105356515113 - 2¹ = 105356515111 is a prime.

It is a super-2 number, since 2×105356515113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105356515111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57950970 + ... + 57952787.

It is an arithmetic number, because the mean of its divisors is an integer number (12807365259).

Almost surely, 2^105356515113 is an apocalyptic number.

It is an amenable number.

105356515113 is a deficient number, since it is larger than the sum of its proper divisors (48331867995).

105356515113 is a wasteful number, since it uses less digits than its factorization.

105356515113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115903864 (or 115903861 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 105356515113 in words is "one hundred five billion, three hundred fifty-six million, five hundred fifteen thousand, one hundred thirteen".