10006100510600 has 96 divisors (see below), whose sum is σ = 23651409520200. Its totient is φ = 3935853158400.

The previous prime is 10006100510591. The next prime is 10006100510671. The reversal of 10006100510600 is 601500160001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 48629952484 + 9957470558116 = 220522^2 + 3155546^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 50274482 + ... + 50473118.

Almost surely, 2^{10006100510600} is an apocalyptic number.

10006100510600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006100510600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11825704760100).

10006100510600 is an abundant number, since it is smaller than the sum of its proper divisors (13645309009600).

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

10006100510600 is a wasteful number, since it uses less digits than its factorization.

10006100510600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202843 (or 202834 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10006100510600 its reverse (601500160001), we get a palindrome (10607600670601).

The spelling of 10006100510600 in words is "ten trillion, six billion, one hundred million, five hundred ten thousand, six hundred".