106931960085 has 32 divisors (see below), whose sum is σ = 174320087040. Its totient is φ = 55962923328.

The previous prime is 106931960063. The next prime is 106931960087. The reversal of 106931960085 is 580069139601.

It is not a de Polignac number, because 106931960085 - 2⁶ = 106931960021 is a prime.

It is a super-2 number, since 2×106931960085² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106931960087) 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 31 ways as a sum of consecutive naturals, for example, 83649 + ... + 469958.

It is an arithmetic number, because the mean of its divisors is an integer number (5447502720).

Almost surely, 2^106931960085 is an apocalyptic number.

106931960085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106931960085 is a deficient number, since it is larger than the sum of its proper divisors (67388126955).

106931960085 is a wasteful number, since it uses less digits than its factorization.

106931960085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553857.

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 106931960085 in words is "one hundred six billion, nine hundred thirty-one million, nine hundred sixty thousand, eighty-five".