106242313122135 has 20 divisors (see below), whose sum is σ = 190449183523368. Its totient is φ = 56662566998256.

The previous prime is 106242313122119. The next prime is 106242313122173. The reversal of 106242313122135 is 531221313242601.

106242313122135 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 423 + 1 + 3 + 1 + 221 + 3 + 5 = 666.

It is not a de Polignac number, because 106242313122135 - 2⁴ = 106242313122119 is a prime.

It is a super-2 number, since 2×106242313122135² (a number of 29 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 106242313122135.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 131163349129 + ... + 131163349938.

Almost surely, 2^{106242313122135} is an apocalyptic number.

106242313122135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106242313122135 is a deficient number, since it is larger than the sum of its proper divisors (84206870401233).

106242313122135 is an equidigital number, since it uses as much as digits as its factorization.

106242313122135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262326699084 (or 262326699075 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 106242313122135 its reverse (531221313242601), we get a palindrome (637463626364736).

The spelling of 106242313122135 in words is "one hundred six trillion, two hundred forty-two billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred thirty-five".