10688832147 has 64 divisors (see below), whose sum is σ = 17828249600. Its totient is φ = 5558595840.

The previous prime is 10688832137. The next prime is 10688832157. The reversal of 10688832147 is 74123888601.

10688832147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10688832137) and next prime (10688832157).

It is not a de Polignac number, because 10688832147 - 2⁴ = 10688832131 is a prime.

It is a super-2 number, since 2×10688832147² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10688832096 and 10688832105.

It is not an unprimeable number, because it can be changed into a prime (10688832137) 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 63 ways as a sum of consecutive naturals, for example, 1716183 + ... + 1722399.

It is an arithmetic number, because the mean of its divisors is an integer number (278566400).

Almost surely, 2^10688832147 is an apocalyptic number.

10688832147 is a deficient number, since it is larger than the sum of its proper divisors (7139417453).

10688832147 is a wasteful number, since it uses less digits than its factorization.

10688832147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416.

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 10688832147 in words is "ten billion, six hundred eighty-eight million, eight hundred thirty-two thousand, one hundred forty-seven".