106467414129 has 6 divisors (see below), whose sum is σ = 153786264866. Its totient is φ = 70978276080.

The previous prime is 106467414127. The next prime is 106467414133. The reversal of 106467414129 is 921414764601.

106467414129 is a `hidden beast` number, since 106 + 4 + 6 + 7 + 414 + 129 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106421445729 + 45968400 = 326223^2 + 6780^2 .

It is not a de Polignac number, because 106467414129 - 2¹ = 106467414127 is a prime.

It is a super-2 number, since 2×106467414129² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106467414121) 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 5 ways as a sum of consecutive naturals, for example, 5914856332 + ... + 5914856349.

Almost surely, 2^106467414129 is an apocalyptic number.

It is an amenable number.

106467414129 is a deficient number, since it is larger than the sum of its proper divisors (47318850737).

106467414129 is a wasteful number, since it uses less digits than its factorization.

106467414129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11829712687 (or 11829712684 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106467414129 in words is "one hundred six billion, four hundred sixty-seven million, four hundred fourteen thousand, one hundred twenty-nine".