106013395341 has 12 divisors (see below), whose sum is σ = 175006240032. Its totient is φ = 60579083016.

The previous prime is 106013395261. The next prime is 106013395381. The reversal of 106013395341 is 143593310601.

It is a happy number.

106013395341 is a `hidden beast` number, since 1 + 0 + 601 + 3 + 3 + 9 + 5 + 3 + 41 = 666.

It is not a de Polignac number, because 106013395341 - 2¹⁸ = 106013133197 is a prime.

It is a super-2 number, since 2×106013395341² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106013395296 and 106013395305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106013395381) 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, 841376091 + ... + 841376216.

It is an arithmetic number, because the mean of its divisors is an integer number (14583853336).

Almost surely, 2^106013395341 is an apocalyptic number.

It is an amenable number.

106013395341 is a deficient number, since it is larger than the sum of its proper divisors (68992844691).

106013395341 is a wasteful number, since it uses less digits than its factorization.

106013395341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682752320 (or 1682752317 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 106013395341 in words is "one hundred six billion, thirteen million, three hundred ninety-five thousand, three hundred forty-one".