106103313 has 6 divisors (see below), whose sum is σ = 153260354. Its totient is φ = 70735536.

The previous prime is 106103311. The next prime is 106103377. The reversal of 106103313 is 313301601.

106103313 is a `hidden beast` number, since 10 + 610 + 33 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76160529 + 29942784 = 8727^2 + 5472^2 .

It is not a de Polignac number, because 106103313 - 2¹ = 106103311 is a prime.

It is a super-2 number, since 2×106103313² = 22515826059151938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106103311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5894620 + ... + 5894637.

Almost surely, 2^106103313 is an apocalyptic number.

It is an amenable number.

106103313 is a deficient number, since it is larger than the sum of its proper divisors (47157041).

106103313 is a wasteful number, since it uses less digits than its factorization.

106103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789263 (or 11789260 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 106103313 is about 10300.6462418627. The cubic root of 106103313 is about 473.4160543892.

Adding to 106103313 its reverse (313301601), we get a palindrome (419404914).

The spelling of 106103313 in words is "one hundred six million, one hundred three thousand, three hundred thirteen".