10680632137 has 4 divisors (see below), whose sum is σ = 12206436736. Its totient is φ = 9154827540.

The previous prime is 10680632129. The next prime is 10680632141. The reversal of 10680632137 is 73123608601.

10680632137 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, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10680632137 - 2³ = 10680632129 is a prime.

It is a super-2 number, since 2×10680632137² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10680632096 and 10680632105.

It is not an unprimeable number, because it can be changed into a prime (10680632437) 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, 762902289 + ... + 762902302.

It is an arithmetic number, because the mean of its divisors is an integer number (3051609184).

Almost surely, 2^10680632137 is an apocalyptic number.

It is an amenable number.

10680632137 is a deficient number, since it is larger than the sum of its proper divisors (1525804599).

10680632137 is an equidigital number, since it uses as much as digits as its factorization.

10680632137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525804598.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 10680632137 in words is "ten billion, six hundred eighty million, six hundred thirty-two thousand, one hundred thirty-seven".