1000100560 has 20 divisors (see below), whose sum is σ = 2325233988. Its totient is φ = 400040192.

The previous prime is 1000100557. The next prime is 1000100561. The reversal of 1000100560 is 650010001.

1000100560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 155151936 + 844948624 = 12456^2 + 29068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1000100560² = 2000402260224627200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100561) 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, 6250549 + ... + 6250708.

Almost surely, 2^1000100560 is an apocalyptic number.

1000100560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100560 is an abundant number, since it is smaller than the sum of its proper divisors (1325133428).

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

1000100560 is a wasteful number, since it uses less digits than its factorization.

1000100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501270 (or 12501264 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1000100560 is about 31624.3665549209. The cubic root of 1000100560 is about 1000.0335188765.

Adding to 1000100560 its reverse (650010001), we get a palindrome (1650110561).

The spelling of 1000100560 in words is "one billion, one hundred thousand, five hundred sixty".