10005187688 has 32 divisors (see below), whose sum is σ = 19879965000. Its totient is φ = 4712279040.

The previous prime is 10005187681. The next prime is 10005187691. The reversal of 10005187688 is 88678150001.

It can be written as a sum of positive squares in 4 ways, for example, as 8667237604 + 1337950084 = 93098^2 + 36578^2 .

It is not an unprimeable number, because it can be changed into a prime (10005187681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516413 + ... + 535436.

Almost surely, 2^10005187688 is an apocalyptic number.

It is an amenable number.

10005187688 is a deficient number, since it is larger than the sum of its proper divisors (9874777312).

10005187688 is a wasteful number, since it uses less digits than its factorization.

10005187688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051925 (or 1051921 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 44.

The spelling of 10005187688 in words is "ten billion, five million, one hundred eighty-seven thousand, six hundred eighty-eight".