107732920025809 has 27 divisors (see below), whose sum is σ = 117996180199569. Its totient is φ = 98317443407040.

The previous prime is 107732920025777. The next prime is 107732920025821. The reversal of 107732920025809 is 908520029237701.

The square root of 107732920025809 is 10379447.

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 47098229724225 + 60634690301584 = 6862815^2 + 7786828^2 .

It is not a de Polignac number, because 107732920025809 - 2⁵ = 107732920025777 is a prime.

It is a super-2 number, since 2×107732920025809² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107732920025809.

It is not an unprimeable number, because it can be changed into a prime (107732920055809) 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, 12009015694 + ... + 12009024664.

Almost surely, 2^{107732920025809} is an apocalyptic number.

107732920025809 is the 10379447-th square number.

107732920025809 is the 5189724-th centered octagonal number.

It is an amenable number.

107732920025809 is a deficient number, since it is larger than the sum of its proper divisors (10263260173760).

107732920025809 is an frugal number, since it uses more digits than its factorization.

107732920025809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18146 (or 9073 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 107732920025809 in words is "one hundred seven trillion, seven hundred thirty-two billion, nine hundred twenty million, twenty-five thousand, eight hundred nine".