10106751627 has 12 divisors (see below), whose sum is σ = 16684161520. Its totient is φ = 5775286608.

The previous prime is 10106751619. The next prime is 10106751637. The reversal of 10106751627 is 72615760101.

10106751627 is a `hidden beast` number, since 10 + 10 + 6 + 7 + 5 + 1 + 627 = 666.

10106751627 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10106751627 - 2³ = 10106751619 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10106751591 and 10106751600.

It is not an unprimeable number, because it can be changed into a prime (10106751637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80212252 + ... + 80212377.

Almost surely, 2^10106751627 is an apocalyptic number.

10106751627 is a deficient number, since it is larger than the sum of its proper divisors (6577409893).

10106751627 is a wasteful number, since it uses less digits than its factorization.

10106751627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160424642 (or 160424639 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 10106751627 in words is "ten billion, one hundred six million, seven hundred fifty-one thousand, six hundred twenty-seven".