107734366771101 has 48 divisors (see below), whose sum is σ = 186261661572480. Its totient is φ = 61364544917760.

The previous prime is 107734366771091. The next prime is 107734366771111. The reversal of 107734366771101 is 101177663437701.

107734366771101 is a `hidden beast` number, since 1 + 0 + 7 + 73 + 436 + 67 + 71 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (107734366771091) and next prime (107734366771111).

It is not a de Polignac number, because 107734366771101 - 2⁶ = 107734366771037 is a prime.

It is a super-2 number, since 2×107734366771101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107734366771111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130507956 + ... + 131330861.

It is an arithmetic number, because the mean of its divisors is an integer number (3880451282760).

Almost surely, 2^{107734366771101} is an apocalyptic number.

It is an amenable number.

107734366771101 is a deficient number, since it is larger than the sum of its proper divisors (78527294801379).

107734366771101 is a wasteful number, since it uses less digits than its factorization.

107734366771101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261839151 (or 261839138 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 107734366771101 in words is "one hundred seven trillion, seven hundred thirty-four billion, three hundred sixty-six million, seven hundred seventy-one thousand, one hundred one".