1006105510506 has 32 divisors (see below), whose sum is σ = 2021172974208. Its totient is φ = 333877586240.

The previous prime is 1006105510471. The next prime is 1006105510507. The reversal of 1006105510506 is 6050155016001.

It is not an unprimeable number, because it can be changed into a prime (1006105510507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128091 + ... + 1812401.

It is an arithmetic number, because the mean of its divisors is an integer number (63161655444).

Almost surely, 2^{1006105510506} is an apocalyptic number.

1006105510506 is an abundant number, since it is smaller than the sum of its proper divisors (1015067463702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006105510506 is a wasteful number, since it uses less digits than its factorization.

1006105510506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685406.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1006105510506 in words is "one trillion, six billion, one hundred five million, five hundred ten thousand, five hundred six".