106005011687 has 8 divisors (see below), whose sum is σ = 107044198800. Its totient is φ = 104967036864.

The previous prime is 106005011681. The next prime is 106005011701. The reversal of 106005011687 is 786110500601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106005011687 is a prime.

It is a super-2 number, since 2×106005011687² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005011681) 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 7 ways as a sum of consecutive naturals, for example, 126833 + ... + 477594.

It is an arithmetic number, because the mean of its divisors is an integer number (13380524850).

Almost surely, 2^106005011687 is an apocalyptic number.

106005011687 is a deficient number, since it is larger than the sum of its proper divisors (1039187113).

106005011687 is a wasteful number, since it uses less digits than its factorization.

106005011687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606145.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 106005011687 in words is "one hundred six billion, five million, eleven thousand, six hundred eighty-seven".