606105010000 has 400 divisors, whose sum is σ = 1732732848000. Its totient is φ = 205207296000.

The previous prime is 606105009973. The next prime is 606105010001. The reversal of 606105010000 is 10501606.

It is a tau number, because it is divible by the number of its divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 606105010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606105010001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 284688936 + ... + 284691064.

It is an arithmetic number, because the mean of its divisors is an integer number (4331832120).

Almost surely, 2^606105010000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 606105010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866366424000).

606105010000 is an abundant number, since it is smaller than the sum of its proper divisors (1126627838000).

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

606105010000 is an equidigital number, since it uses as much as digits as its factorization.

606105010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2226 counting only the distinct ones).

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

Adding to 606105010000 its reverse (10501606), we get a palindrome (606115511606).

The spelling of 606105010000 in words is "six hundred six billion, one hundred five million, ten thousand".