107536117329 has 27 divisors (see below), whose sum is σ = 156286452049. Its totient is φ = 71251978560.

The previous prime is 107536117223. The next prime is 107536117361. The reversal of 107536117329 is 923711635701.

The square root of 107536117329 is 327927.

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

107536117329 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 3 + 611 + 7 + 3 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1038321729 + 106497795600 = 32223^2 + 326340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-107536117329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107536116329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276442267 + ... + 276442655.

Almost surely, 2^107536117329 is an apocalyptic number.

107536117329 is the 327927-th square number.

107536117329 is the 163964-th centered octagonal number.

It is an amenable number.

107536117329 is a deficient number, since it is larger than the sum of its proper divisors (48750334720).

107536117329 is an frugal number, since it uses more digits than its factorization.

107536117329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 107536117329 in words is "one hundred seven billion, five hundred thirty-six million, one hundred seventeen thousand, three hundred twenty-nine".