106841069688640 has 112 divisors (see below), whose sum is σ = 291019260431232. Its totient is φ = 36598603954176.

The previous prime is 106841069688599. The next prime is 106841069688673. The reversal of 106841069688640 is 46886960148601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106841069688640² (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 18720859 + ... + 23751898.

Almost surely, 2^{106841069688640} is an apocalyptic number.

106841069688640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106841069688640 is an abundant number, since it is smaller than the sum of its proper divisors (184178190742592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106841069688640 is a wasteful number, since it uses less digits than its factorization.

106841069688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42473904 (or 42473894 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 67.

The spelling of 106841069688640 in words is "one hundred six trillion, eight hundred forty-one billion, sixty-nine million, six hundred eighty-eight thousand, six hundred forty".