606005506100 has 144 divisors (see below), whose sum is σ = 1370301420096. Its totient is φ = 232434048000.

The previous prime is 606005506013. The next prime is 606005506129. The reversal of 606005506100 is 1605500606.

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 47 ways as a sum of consecutive naturals, for example, 134875454 + ... + 134879946.

It is an arithmetic number, because the mean of its divisors is an integer number (9515982084).

Almost surely, 2^606005506100 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 606005506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685150710048).

606005506100 is an abundant number, since it is smaller than the sum of its proper divisors (764295913996).

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

606005506100 is a wasteful number, since it uses less digits than its factorization.

606005506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 606005506100 in words is "six hundred six billion, five million, five hundred six thousand, one hundred".