107752932528921 has 45 divisors (see below), whose sum is σ = 161355270515439. Its totient is φ = 71661208860144.

The previous prime is 107752932528869. The next prime is 107752932528931. The reversal of 107752932528921 is 129825239257701.

The square root of 107752932528921 is 10380411.

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

107752932528921 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 5 + 2 + 9 + 325 + 289 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31257547814025 + 76495384714896 = 5590845^2 + 8746164^2 .

It is not a de Polignac number, because 107752932528921 - 2¹¹ = 107752932526873 is a prime.

It is a super-2 number, since 2×107752932528921² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107752932528931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46992119451 + ... + 46992121743.

Almost surely, 2^{107752932528921} is an apocalyptic number.

107752932528921 is the 10380411-st square number.

107752932528921 is the 5190206-th centered octagonal number.

It is an amenable number.

107752932528921 is a deficient number, since it is larger than the sum of its proper divisors (53602337986518).

107752932528921 is an frugal number, since it uses more digits than its factorization.

107752932528921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 107752932528921 in words is "one hundred seven trillion, seven hundred fifty-two billion, nine hundred thirty-two million, five hundred twenty-eight thousand, nine hundred twenty-one".