106772367767661 has 16 divisors (see below), whose sum is σ = 158264495171520. Its totient is φ = 71144134196400.

The previous prime is 106772367767657. The next prime is 106772367767701. The reversal of 106772367767661 is 166767763277601.

It is a happy number.

106772367767661 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 72 + 367 + 76 + 76 + 61 = 666.

It is not a de Polignac number, because 106772367767661 - 2² = 106772367767657 is a prime.

It is a super-2 number, since 2×106772367767661² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106772367767661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106772367767651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040067595 + ... + 1040170248.

It is an arithmetic number, because the mean of its divisors is an integer number (9891530948220).

Almost surely, 2^{106772367767661} is an apocalyptic number.

It is an amenable number.

106772367767661 is a deficient number, since it is larger than the sum of its proper divisors (51492127403859).

106772367767661 is a wasteful number, since it uses less digits than its factorization.

106772367767661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080239753 (or 2080239747 counting only the distinct ones).

The product of its (nonzero) digits is 784147392, while the sum is 72.

The spelling of 106772367767661 in words is "one hundred six trillion, seven hundred seventy-two billion, three hundred sixty-seven million, seven hundred sixty-seven thousand, six hundred sixty-one".