1000006100560 has 40 divisors (see below), whose sum is σ = 2328293602440. Its totient is φ = 399438239232.

The previous prime is 1000006100531. The next prime is 1000006100567. The reversal of 1000006100560 is 650016000001.

It can be written as a sum of positive squares in 4 ways, for example, as 118465379344 + 881540721216 = 344188^2 + 938904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000006100567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8758567 + ... + 8872006.

It is an arithmetic number, because the mean of its divisors is an integer number (58207340061).

Almost surely, 2^{1000006100560} is an apocalyptic number.

1000006100560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000006100560 is an abundant number, since it is smaller than the sum of its proper divisors (1328287501880).

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

1000006100560 is a wasteful number, since it uses less digits than its factorization.

1000006100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17631295 (or 17631289 counting only the distinct ones).

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

The spelling of 1000006100560 in words is "one trillion, six million, one hundred thousand, five hundred sixty".