106338113422135 has 64 divisors (see below), whose sum is σ = 157453094522880. Its totient is φ = 67329380321280.

The previous prime is 106338113422103. The next prime is 106338113422139. The reversal of 106338113422135 is 531224311833601.

It is not a de Polignac number, because 106338113422135 - 2⁵ = 106338113422103 is a prime.

It is a super-2 number, since 2×106338113422135² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106338113422091 and 106338113422100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106338113422139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123369055 + ... + 124228015.

It is an arithmetic number, because the mean of its divisors is an integer number (2460204601920).

Almost surely, 2^{106338113422135} is an apocalyptic number.

106338113422135 is a deficient number, since it is larger than the sum of its proper divisors (51114981100745).

106338113422135 is a wasteful number, since it uses less digits than its factorization.

106338113422135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864328.

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 106338113422135 in words is "one hundred six trillion, three hundred thirty-eight billion, one hundred thirteen million, four hundred twenty-two thousand, one hundred thirty-five".