106509273313 has 16 divisors (see below), whose sum is σ = 112652712000. Its totient is φ = 100419988032.

The previous prime is 106509273281. The next prime is 106509273319. The reversal of 106509273313 is 313372905601.

It is not a de Polignac number, because 106509273313 - 2⁵ = 106509273281 is a prime.

It is a super-2 number, since 2×106509273313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106509273319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15394731 + ... + 15401647.

It is an arithmetic number, because the mean of its divisors is an integer number (7040794500).

Almost surely, 2^106509273313 is an apocalyptic number.

It is an amenable number.

106509273313 is a deficient number, since it is larger than the sum of its proper divisors (6143438687).

106509273313 is a wasteful number, since it uses less digits than its factorization.

106509273313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704.

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 106509273313 in words is "one hundred six billion, five hundred nine million, two hundred seventy-three thousand, three hundred thirteen".