106151679765 has 40 divisors (see below), whose sum is σ = 190677801600. Its totient is φ = 56497873248.

The previous prime is 106151679749. The next prime is 106151679817. The reversal of 106151679765 is 567976151601.

106151679765 is a `hidden beast` number, since 1 + 0 + 61 + 516 + 7 + 9 + 7 + 65 = 666.

It is not a de Polignac number, because 106151679765 - 2⁴ = 106151679749 is a prime.

It is a super-2 number, since 2×106151679765² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 71865 + ... + 466334.

It is an arithmetic number, because the mean of its divisors is an integer number (4766945040).

Almost surely, 2^106151679765 is an apocalyptic number.

106151679765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106151679765 is a deficient number, since it is larger than the sum of its proper divisors (84526121835).

106151679765 is an equidigital number, since it uses as much as digits as its factorization.

106151679765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538703 (or 538694 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 106151679765 in words is "one hundred six billion, one hundred fifty-one million, six hundred seventy-nine thousand, seven hundred sixty-five".