106001056689 has 16 divisors (see below), whose sum is σ = 154982241984. Its totient is φ = 63910195200.

The previous prime is 106001056687. The next prime is 106001056691. The reversal of 106001056689 is 986650100601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106001056687) and next prime (106001056691).

It is not a de Polignac number, because 106001056689 - 2¹ = 106001056687 is a prime.

It is a super-2 number, since 2×106001056689² (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 106001056689.

It is not an unprimeable number, because it can be changed into a prime (106001056687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8315272 + ... + 8328009.

It is an arithmetic number, because the mean of its divisors is an integer number (9686390124).

Almost surely, 2^106001056689 is an apocalyptic number.

It is an amenable number.

106001056689 is a deficient number, since it is larger than the sum of its proper divisors (48981185295).

106001056689 is a wasteful number, since it uses less digits than its factorization.

106001056689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16643488.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 106001056689 in words is "one hundred six billion, one million, fifty-six thousand, six hundred eighty-nine".