10107476768 has 24 divisors (see below), whose sum is σ = 19902890700. Its totient is φ = 5052774400.

The previous prime is 10107476767. The next prime is 10107476773. The reversal of 10107476768 is 86767470101.

It is a happy number.

10107476768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6768023824 + 3339452944 = 82268^2 + 57788^2 .

It is a super-2 number, since 2×10107476768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10107476767) 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, 158408 + ... + 212856.

Almost surely, 2^10107476768 is an apocalyptic number.

It is an amenable number.

10107476768 is a deficient number, since it is larger than the sum of its proper divisors (9795413932).

10107476768 is an equidigital number, since it uses as much as digits as its factorization.

10107476768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60260 (or 60252 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 47.

The spelling of 10107476768 in words is "ten billion, one hundred seven million, four hundred seventy-six thousand, seven hundred sixty-eight".