107909984 has 48 divisors (see below), whose sum is σ = 261481248. Its totient is φ = 42688512.

The previous prime is 107909981. The next prime is 107910001. The reversal of 107909984 is 489909701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107909981) 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, 15617 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (5447526).

Almost surely, 2^107909984 is an apocalyptic number.

107909984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107909984 is an abundant number, since it is smaller than the sum of its proper divisors (153571264).

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

107909984 is a wasteful number, since it uses less digits than its factorization.

107909984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37087 (or 37079 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 107909984 is about 10387.9730457871. The cubic root of 107909984 is about 476.0879718769.

The spelling of 107909984 in words is "one hundred seven million, nine hundred nine thousand, nine hundred eighty-four".