107613680 has 40 divisors (see below), whose sum is σ = 253642992. Its totient is φ = 42453504.

The previous prime is 107613673. The next prime is 107613683. The reversal of 107613680 is 86316701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107613683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3374 + ... + 15053.

Almost surely, 2^107613680 is an apocalyptic number.

107613680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107613680 is an abundant number, since it is smaller than the sum of its proper divisors (146029312).

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

107613680 is a wasteful number, since it uses less digits than its factorization.

107613680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18513 (or 18507 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 107613680 is about 10373.7013645082. The cubic root of 107613680 is about 475.6518179694.

It can be divided in two parts, 10761 and 3680, that added together give a palindrome (14441).

The spelling of 107613680 in words is "one hundred seven million, six hundred thirteen thousand, six hundred eighty".