2106715515066 has 64 divisors (see below), whose sum is σ = 4888907654400. Its totient is φ = 671187990528.

The previous prime is 2106715515049. The next prime is 2106715515067. The reversal of 2106715515066 is 6605155176012.

It is a happy number.

2106715515066 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 71 + 5 + 515 + 0 + 66 = 666.

It is a super-2 number, since 2×2106715515066² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2106715515067) by changing a digit.

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, 956970 + ... + 2264778.

It is an arithmetic number, because the mean of its divisors is an integer number (76389182100).

Almost surely, 2^{2106715515066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106715515066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444453827200).

2106715515066 is an abundant number, since it is smaller than the sum of its proper divisors (2782192139334).

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

2106715515066 is a wasteful number, since it uses less digits than its factorization.

2106715515066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309140 (or 1309134 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 2106715515066 in words is "two trillion, one hundred six billion, seven hundred fifteen million, five hundred fifteen thousand, sixty-six".