107689956 has 96 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 30750720.

The previous prime is 107689921. The next prime is 107689957. The reversal of 107689956 is 659986701.

It is a junction number, because it is equal to n+sod(n) for n = 107689899 and 107689908.

It is not an unprimeable number, because it can be changed into a prime (107689957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239620 + ... + 240068.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^107689956 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 107689956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

107689956 is an abundant number, since it is smaller than the sum of its proper divisors (182614044).

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

107689956 is a wasteful number, since it uses less digits than its factorization.

107689956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 107689956 is about 10377.3771252663. The cubic root of 107689956 is about 475.7641712488.

The spelling of 107689956 in words is "one hundred seven million, six hundred eighty-nine thousand, nine hundred fifty-six".