106072823817 has 24 divisors (see below), whose sum is σ = 153568363520. Its totient is φ = 70552853280.

The previous prime is 106072823771. The next prime is 106072823833. The reversal of 106072823817 is 718328270601.

106072823817 is a `hidden beast` number, since 1 + 0 + 607 + 2 + 8 + 2 + 38 + 1 + 7 = 666.

It is not a de Polignac number, because 106072823817 - 2¹⁵ = 106072791049 is a prime.

It is a super-4 number, since 4×106072823817⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106072823887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15065784 + ... + 15072822.

Almost surely, 2^106072823817 is an apocalyptic number.

It is an amenable number.

106072823817 is a deficient number, since it is larger than the sum of its proper divisors (47495539703).

106072823817 is a wasteful number, since it uses less digits than its factorization.

106072823817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10653 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 106072823817 in words is "one hundred six billion, seventy-two million, eight hundred twenty-three thousand, eight hundred seventeen".