106188966873 has 16 divisors (see below), whose sum is σ = 171618532800. Its totient is φ = 64356949440.

The previous prime is 106188966853. The next prime is 106188966911. The reversal of 106188966873 is 378669881601.

106188966873 is a `hidden beast` number, since 1 + 0 + 618 + 8 + 9 + 6 + 6 + 8 + 7 + 3 = 666.

It is not a de Polignac number, because 106188966873 - 2¹² = 106188962777 is a prime.

It is a super-2 number, since 2×106188966873² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106188966873.

It is not an unprimeable number, because it can be changed into a prime (106188966853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178769008 + ... + 178769601.

It is an arithmetic number, because the mean of its divisors is an integer number (10726158300).

Almost surely, 2^106188966873 is an apocalyptic number.

It is an amenable number.

106188966873 is a deficient number, since it is larger than the sum of its proper divisors (65429565927).

106188966873 is a wasteful number, since it uses less digits than its factorization.

106188966873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357538629 (or 357538623 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 106188966873 in words is "one hundred six billion, one hundred eighty-eight million, nine hundred sixty-six thousand, eight hundred seventy-three".