106510313 has 8 divisors (see below), whose sum is σ = 131089728. Its totient is φ = 84271824.

The previous prime is 106510307. The next prime is 106510351. The reversal of 106510313 is 313015601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106510313 - 2¹⁰ = 106509289 is a prime.

It is a super-2 number, since 2×106510313² = 22688893550715938, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106510363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585131 + ... + 585312.

It is an arithmetic number, because the mean of its divisors is an integer number (16386216).

Almost surely, 2^106510313 is an apocalyptic number.

106510313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106510313 is a deficient number, since it is larger than the sum of its proper divisors (24579415).

106510313 is a wasteful number, since it uses less digits than its factorization.

106510313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170463.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 106510313 is about 10320.3833746620. The cubic root of 106510313 is about 474.0206050732.

Adding to 106510313 its reverse (313015601), we get a palindrome (419525914).

The spelling of 106510313 in words is "one hundred six million, five hundred ten thousand, three hundred thirteen".