106013395305 has 48 divisors (see below), whose sum is σ = 185951376000. Its totient is φ = 55866041088.

The previous prime is 106013395261. The next prime is 106013395381. The reversal of 106013395305 is 503593310601.

106013395305 is a `hidden beast` number, since 10 + 6 + 0 + 1 + 339 + 5 + 305 = 666.

It is not a de Polignac number, because 106013395305 - 2¹⁰ = 106013394281 is a prime.

It is a super-2 number, since 2×106013395305² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106013395305.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6235306 + ... + 6252284.

It is an arithmetic number, because the mean of its divisors is an integer number (3873987000).

Almost surely, 2^106013395305 is an apocalyptic number.

106013395305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106013395305 is a deficient number, since it is larger than the sum of its proper divisors (79937980695).

106013395305 is a wasteful number, since it uses less digits than its factorization.

106013395305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18638 (or 18635 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The spelling of 106013395305 in words is "one hundred six billion, thirteen million, three hundred ninety-five thousand, three hundred five".