107077205606321 has 8 divisors (see below), whose sum is σ = 113376485643624. Its totient is φ = 100777994556160.

The previous prime is 107077205606311. The next prime is 107077205606339. The reversal of 107077205606321 is 123606502770701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47156911333921 + 59920294272400 = 6867089^2 + 7740820^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107077205606321 - 2³⁰ = 107076131864497 is a prime.

It is a super-2 number, since 2×107077205606321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107077205606311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14034110 + ... + 20275863.

It is an arithmetic number, because the mean of its divisors is an integer number (14172060705453).

Almost surely, 2^{107077205606321} is an apocalyptic number.

It is an amenable number.

107077205606321 is a deficient number, since it is larger than the sum of its proper divisors (6299280037303).

107077205606321 is a wasteful number, since it uses less digits than its factorization.

107077205606321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34493571.

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 107077205606321 in words is "one hundred seven trillion, seventy-seven billion, two hundred five million, six hundred six thousand, three hundred twenty-one".