1005106106605 has 8 divisors (see below), whose sum is σ = 1217399546592. Its totient is φ = 796570072848.

The previous prime is 1005106106527. The next prime is 1005106106621. The reversal of 1005106106605 is 5066016015001.

1005106106605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1005106106605 - 2²³ = 1005097717997 is a prime.

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, 939350967 + ... + 939352036.

It is an arithmetic number, because the mean of its divisors is an integer number (152174943324).

Almost surely, 2^{1005106106605} is an apocalyptic number.

It is an amenable number.

1005106106605 is a deficient number, since it is larger than the sum of its proper divisors (212293439987).

1005106106605 is a wasteful number, since it uses less digits than its factorization.

1005106106605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878703115.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 1005106106605 in words is "one trillion, five billion, one hundred six million, one hundred six thousand, six hundred five".