2106506776761 has 24 divisors (see below), whose sum is σ = 3056105388960. Its totient is φ = 1398166766016.

The previous prime is 2106506776753. The next prime is 2106506776789. The reversal of 2106506776761 is 1676776056012.

2106506776761 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 506 + 7 + 76 + 7 + 61 = 666.

It is not a de Polignac number, because 2106506776761 - 2³ = 2106506776753 is a prime.

It is a super-2 number, since 2×2106506776761² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2106506776698 and 2106506776707.

It is not an unprimeable number, because it can be changed into a prime (2106506775761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22725070 + ... + 22817576.

It is an arithmetic number, because the mean of its divisors is an integer number (127337724540).

Almost surely, 2^{2106506776761} is an apocalyptic number.

It is an amenable number.

2106506776761 is a deficient number, since it is larger than the sum of its proper divisors (949598612199).

2106506776761 is a wasteful number, since it uses less digits than its factorization.

2106506776761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103605 (or 103602 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 2106506776761 in words is "two trillion, one hundred six billion, five hundred six million, seven hundred seventy-six thousand, seven hundred sixty-one".