10005610100 has 36 divisors (see below), whose sum is σ = 22989364524. Its totient is φ = 3766817280.

The previous prime is 10005610099. The next prime is 10005610123. The reversal of 10005610100 is 101650001.

10005610100 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 6 ways, for example, as 180042724 + 9825567376 = 13418^2 + 99124^2 .

It is a super-2 number, since 2×10005610100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2941127 + ... + 2944526.

It is an arithmetic number, because the mean of its divisors is an integer number (638593459).

Almost surely, 2^10005610100 is an apocalyptic number.

10005610100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005610100 is an abundant number, since it is smaller than the sum of its proper divisors (12983754424).

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

10005610100 is a wasteful number, since it uses less digits than its factorization.

10005610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885684 (or 5885677 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 10005610100 in words is "ten billion, five million, six hundred ten thousand, one hundred".