107071984 has 40 divisors (see below), whose sum is σ = 222173280. Its totient is φ = 49809408.

The previous prime is 107071931. The next prime is 107071997. The reversal of 107071984 is 489170701.

It is a super-2 number, since 2×107071984² = 22928819515392512, which 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21997 + ... + 26419.

It is an arithmetic number, because the mean of its divisors is an integer number (5554332).

Almost surely, 2^107071984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107071984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111086640).

107071984 is an abundant number, since it is smaller than the sum of its proper divisors (115101296).

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

107071984 is a wasteful number, since it uses less digits than its factorization.

107071984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 107071984 is about 10347.5593257541. The cubic root of 107071984 is about 474.8523773946.

The spelling of 107071984 in words is "one hundred seven million, seventy-one thousand, nine hundred eighty-four".