106006060510605 has 48 divisors (see below), whose sum is σ = 194042733446016. Its totient is φ = 53426906375040.

The previous prime is 106006060510561. The next prime is 106006060510627. The reversal of 106006060510605 is 506015060600601.

It is not a de Polignac number, because 106006060510605 - 2¹⁴ = 106006060494221 is a prime.

It is a super-2 number, since 2×106006060510605² (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 106006060510605.

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 47 ways as a sum of consecutive naturals, for example, 616909966 + ... + 617081775.

It is an arithmetic number, because the mean of its divisors is an integer number (4042556946792).

Almost surely, 2^{106006060510605} is an apocalyptic number.

106006060510605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106006060510605 is a deficient number, since it is larger than the sum of its proper divisors (88036672935411).

106006060510605 is a wasteful number, since it uses less digits than its factorization.

106006060510605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233991858 (or 1233991855 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106006060510605 in words is "one hundred six trillion, six billion, sixty million, five hundred ten thousand, six hundred five".