1000505606105 has 32 divisors (see below), whose sum is σ = 1311401456640. Its totient is φ = 730211751360.

The previous prime is 1000505606101. The next prime is 1000505606131. The reversal of 1000505606105 is 5016065050001.

It is not a de Polignac number, because 1000505606105 - 2² = 1000505606101 is a prime.

It is a super-2 number, since 2×1000505606105² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000505606101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434767 + ... + 2014836.

It is an arithmetic number, because the mean of its divisors is an integer number (40981295520).

Almost surely, 2^{1000505606105} is an apocalyptic number.

It is an amenable number.

1000505606105 is a deficient number, since it is larger than the sum of its proper divisors (310895850535).

1000505606105 is a wasteful number, since it uses less digits than its factorization.

1000505606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449741.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 1000505606105 in words is "one trillion, five hundred five million, six hundred six thousand, one hundred five".