107180944069329 has 81 divisors (see below), whose sum is σ = 168697523155707. Its totient is φ = 65544799106592.

The previous prime is 107180944069301. The next prime is 107180944069363. The reversal of 107180944069329 is 923960449081701.

The square root of 107180944069329 is 10352823.

It is a perfect power (a square), and thus also a powerful number.

107180944069329 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 80 + 9 + 440 + 6 + 93 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15855169241025 + 91325774828304 = 3981855^2 + 9556452^2 .

It is not a de Polignac number, because 107180944069329 - 2¹⁹ = 107180943545041 is a prime.

It is a super-2 number, since 2×107180944069329² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107180944062329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 72273056622 + ... + 72273058104.

Almost surely, 2^{107180944069329} is an apocalyptic number.

107180944069329 is the 10352823-rd square number.

107180944069329 is the 5176412-nd centered octagonal number.

It is an amenable number.

107180944069329 is a deficient number, since it is larger than the sum of its proper divisors (61516579086378).

107180944069329 is an frugal number, since it uses more digits than its factorization.

107180944069329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 107180944069329 in words is "one hundred seven trillion, one hundred eighty billion, nine hundred forty-four million, sixty-nine thousand, three hundred twenty-nine".