106103686113 has 12 divisors (see below), whose sum is σ = 158545738260. Its totient is φ = 68296625376.

The previous prime is 106103686079. The next prime is 106103686123. The reversal of 106103686113 is 311686301601.

106103686113 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 36 + 8 + 611 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42835339089 + 63268347024 = 206967^2 + 251532^2 .

It is not a de Polignac number, because 106103686113 - 2²⁹ = 105566815201 is a prime.

It is a super-2 number, since 2×106103686113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106103686123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 203263506 + ... + 203264027.

It is an arithmetic number, because the mean of its divisors is an integer number (13212144855).

Almost surely, 2^106103686113 is an apocalyptic number.

It is an amenable number.

106103686113 is a deficient number, since it is larger than the sum of its proper divisors (52442052147).

106103686113 is a wasteful number, since it uses less digits than its factorization.

106103686113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406527568 (or 406527565 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 106103686113 its reverse (311686301601), we get a palindrome (417789987714).

The spelling of 106103686113 in words is "one hundred six billion, one hundred three million, six hundred eighty-six thousand, one hundred thirteen".