107685984 has 192 divisors, whose sum is σ = 341978112. Its totient is φ = 29030400.

The previous prime is 107685979. The next prime is 107685989. The reversal of 107685984 is 489586701.

It is an interprime number because it is at equal distance from previous prime (107685979) and next prime (107685989).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107685989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516669 + ... + 1516739.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^107685984 is an apocalyptic number.

107685984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

107685984 is an abundant number, since it is smaller than the sum of its proper divisors (234292128).

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

107685984 is a wasteful number, since it uses less digits than its factorization.

107685984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 107685984 is about 10377.1857456634. The cubic root of 107685984 is about 475.7583218685.

The spelling of 107685984 in words is "one hundred seven million, six hundred eighty-five thousand, nine hundred eighty-four".