2606106105512 has 128 divisors (see below), whose sum is σ = 6158690496000. Its totient is φ = 1027314086400.

The previous prime is 2606106105437. The next prime is 2606106105529. The reversal of 2606106105512 is 2155016016062.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9893837 + ... + 10153827.

It is an arithmetic number, because the mean of its divisors is an integer number (48114769500).

Almost surely, 2^{2606106105512} 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 2606106105512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079345248000).

2606106105512 is an abundant number, since it is smaller than the sum of its proper divisors (3552584390488).

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

2606106105512 is a wasteful number, since it uses less digits than its factorization.

2606106105512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260312 (or 260294 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 2606106105512 in words is "two trillion, six hundred six billion, one hundred six million, one hundred five thousand, five hundred twelve".