1006105060 has 12 divisors (see below), whose sum is σ = 2112820668. Its totient is φ = 402442016.

The previous prime is 1006105007. The next prime is 1006105069. The reversal of 1006105060 is 605016001.

It can be written as a sum of positive squares in 2 ways, for example, as 545315904 + 460789156 = 23352^2 + 21466^2 .

It is not an unprimeable number, because it can be changed into a prime (1006105069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25152607 + ... + 25152646.

It is an arithmetic number, because the mean of its divisors is an integer number (176068389).

Almost surely, 2^1006105060 is an apocalyptic number.

1006105060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006105060 is an abundant number, since it is smaller than the sum of its proper divisors (1106715608).

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

1006105060 is a wasteful number, since it uses less digits than its factorization.

1006105060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50305262 (or 50305260 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1006105060 is about 31719.1591944049. The cubic root of 1006105060 is about 1002.0308926828.

The spelling of 1006105060 in words is "one billion, six million, one hundred five thousand, sixty".