107081436289 has 9 divisors (see below), whose sum is σ = 113756778057. Its totient is φ = 100777292544.

The previous prime is 107081436281. The next prime is 107081436359. The reversal of 107081436289 is 982634180701.

The square root of 107081436289 is 327233.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35681321025 + 71400115264 = 188895^2 + 267208^2 .

It is not a de Polignac number, because 107081436289 - 2³ = 107081436281 is a prime.

It is a super-2 number, since 2×107081436289² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107081436281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5553337 + ... + 5572585.

Almost surely, 2^107081436289 is an apocalyptic number.

107081436289 is the 327233-rd square number.

107081436289 is the 163617-th centered octagonal number.

It is an amenable number.

107081436289 is a deficient number, since it is larger than the sum of its proper divisors (6675341768).

107081436289 is an frugal number, since it uses more digits than its factorization.

107081436289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38532 (or 19266 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 107081436289 by its sum of digits (49), we get a square (5246990378161 = 2290631²).

The spelling of 107081436289 in words is "one hundred seven billion, eighty-one million, four hundred thirty-six thousand, two hundred eighty-nine".