106707055705121 has 16 divisors (see below), whose sum is σ = 115388783000064. Its totient is φ = 98292567412224.

The previous prime is 106707055705079. The next prime is 106707055705123. The reversal of 106707055705121 is 121507550707601.

It is a cyclic number.

It is not a de Polignac number, because 106707055705121 - 2⁴² = 102309009194017 is a prime.

It is a super-2 number, since 2×106707055705121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (106707055705123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114201596 + ... + 115132178.

It is an arithmetic number, because the mean of its divisors is an integer number (7211798937504).

Almost surely, 2^{106707055705121} is an apocalyptic number.

It is an amenable number.

106707055705121 is a deficient number, since it is larger than the sum of its proper divisors (8681727294943).

106707055705121 is a wasteful number, since it uses less digits than its factorization.

106707055705121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074160.

The product of its (nonzero) digits is 514500, while the sum is 47.

The spelling of 106707055705121 in words is "one hundred six trillion, seven hundred seven billion, fifty-five million, seven hundred five thousand, one hundred twenty-one".