107113582446336 has 108 divisors (see below), whose sum is σ = 309926155827288. Its totient is φ = 35578362857472.

The previous prime is 107113582446319. The next prime is 107113582446391. The reversal of 107113582446336 is 633644285311701.

107113582446336 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 13 + 58 + 244 + 6 + 336 = 666.

It is a super-3 number, since 3×107113582446336³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 81486255 + ... + 82790318.

Almost surely, 2^{107113582446336} is an apocalyptic number.

107113582446336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107113582446336 is an abundant number, since it is smaller than the sum of its proper divisors (202812573380952).

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

107113582446336 is a wasteful number, since it uses less digits than its factorization.

107113582446336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164276878 (or 164276861 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 107113582446336 in words is "one hundred seven trillion, one hundred thirteen billion, five hundred eighty-two million, four hundred forty-six thousand, three hundred thirty-six".