107961984 has 224 divisors, whose sum is σ = 351180900. Its totient is φ = 32845824.

The previous prime is 107961943. The next prime is 107961989. The reversal of 107961984 is 489169701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94478400 + 13483584 = 9720^2 + 3672^2 .

It is not an unprimeable number, because it can be changed into a prime (107961989) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1213012 + ... + 1213100.

Almost surely, 2^107961984 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 107961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175590450).

107961984 is an abundant number, since it is smaller than the sum of its proper divisors (243218916).

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

107961984 is an frugal number, since it uses more digits than its factorization.

107961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 107961984 is about 10390.4756387761. The cubic root of 107961984 is about 476.1644325160.

The spelling of 107961984 in words is "one hundred seven million, nine hundred sixty-one thousand, nine hundred eighty-four".