106416463442005 has 8 divisors (see below), whose sum is σ = 127994674738392. Its totient is φ = 84936558348288.

The previous prime is 106416463441963. The next prime is 106416463442017. The reversal of 106416463442005 is 500244364614601.

It can be written as a sum of positive squares in 4 ways, for example, as 8140527691921 + 98275935750084 = 2853161^2 + 9913422^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106416463442005 - 2¹⁹ = 106416462917717 is a prime.

It is a super-2 number, since 2×106416463442005² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24576548284 + ... + 24576552613.

It is an arithmetic number, because the mean of its divisors is an integer number (15999334342299).

Almost surely, 2^{106416463442005} is an apocalyptic number.

It is an amenable number.

106416463442005 is a deficient number, since it is larger than the sum of its proper divisors (21578211296387).

106416463442005 is an equidigital number, since it uses as much as digits as its factorization.

106416463442005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49153101335.

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 106416463442005 in words is "one hundred six trillion, four hundred sixteen billion, four hundred sixty-three million, four hundred forty-two thousand, five".