10107132577 has 4 divisors (see below), whose sum is σ = 10455654420. Its totient is φ = 9758610736.

The previous prime is 10107132557. The next prime is 10107132601. The reversal of 10107132577 is 77523170101.

It is a happy number.

10107132577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6875892241 + 3231240336 = 82921^2 + 56844^2 .

It is a cyclic number.

It is not a de Polignac number, because 10107132577 - 2⁷ = 10107132449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10107132527) 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 3 ways as a sum of consecutive naturals, for example, 174260878 + ... + 174260935.

It is an arithmetic number, because the mean of its divisors is an integer number (2613913605).

Almost surely, 2^10107132577 is an apocalyptic number.

It is an amenable number.

10107132577 is a deficient number, since it is larger than the sum of its proper divisors (348521843).

10107132577 is an equidigital number, since it uses as much as digits as its factorization.

10107132577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348521842.

The product of its (nonzero) digits is 10290, while the sum is 34.

The spelling of 10107132577 in words is "ten billion, one hundred seven million, one hundred thirty-two thousand, five hundred seventy-seven".