106645686075 has 48 divisors (see below), whose sum is σ = 196199763840. Its totient is φ = 56794177440.

The previous prime is 106645686023. The next prime is 106645686089. The reversal of 106645686075 is 570686546601.

106645686075 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 568 + 6 + 0 + 75 = 666.

It is not a de Polignac number, because 106645686075 - 2⁹ = 106645685563 is a prime.

It is a super-3 number, since 3×106645686075³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 345364 + ... + 576686.

It is an arithmetic number, because the mean of its divisors is an integer number (4087495080).

Almost surely, 2^106645686075 is an apocalyptic number.

106645686075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106645686075 is a deficient number, since it is larger than the sum of its proper divisors (89554077765).

106645686075 is a wasteful number, since it uses less digits than its factorization.

106645686075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232025 (or 232014 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 106645686075 in words is "one hundred six billion, six hundred forty-five million, six hundred eighty-six thousand, seventy-five".