107737066771001 has 8 divisors (see below), whose sum is σ = 107804004279144. Its totient is φ = 107670135513600.

The previous prime is 107737066770979. The next prime is 107737066771007. The reversal of 107737066771001 is 100177660737701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15482021478400 + 92255045292601 = 3934720^2 + 9604949^2 .

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 107737066771001 - 2³⁰ = 107735993029177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107737066771007) 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, 33159245 + ... + 36263061.

It is an arithmetic number, because the mean of its divisors is an integer number (13475500534893).

Almost surely, 2^{107737066771001} is an apocalyptic number.

It is an amenable number.

107737066771001 is a deficient number, since it is larger than the sum of its proper divisors (66937508143).

107737066771001 is a wasteful number, since it uses less digits than its factorization.

107737066771001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125371.

The product of its (nonzero) digits is 1815156, while the sum is 53.

The spelling of 107737066771001 in words is "one hundred seven trillion, seven hundred thirty-seven billion, sixty-six million, seven hundred seventy-one thousand, one".