1006006050105 has 64 divisors (see below), whose sum is σ = 1848346214400. Its totient is φ = 457694415360.

The previous prime is 1006006050097. The next prime is 1006006050191. The reversal of 1006006050105 is 5010506006001.

1006006050105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006006050105 - 2³ = 1006006050097 is a prime.

It is a super-2 number, since 2×1006006050105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24734376 + ... + 24775014.

It is an arithmetic number, because the mean of its divisors is an integer number (28880409600).

Almost surely, 2^{1006006050105} is an apocalyptic number.

1006006050105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006006050105 is a deficient number, since it is larger than the sum of its proper divisors (842340164295).

1006006050105 is a wasteful number, since it uses less digits than its factorization.

1006006050105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41774.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 1006006050105 in words is "one trillion, six billion, six million, fifty thousand, one hundred five".