107689536 has 168 divisors, whose sum is σ = 329249024. Its totient is φ = 33592320.

The previous prime is 107689489. The next prime is 107689537. The reversal of 107689536 is 635986701.

It is a happy number.

107689536 is a `hidden beast` number, since 107 + 6 + 8 + 9 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107689491 and 107689500.

It is not an unprimeable number, because it can be changed into a prime (107689537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660591 + ... + 660753.

Almost surely, 2^107689536 is an apocalyptic number.

107689536 is a gapful number since it is divisible by the number (16) 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 107689536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164624512).

107689536 is an abundant number, since it is smaller than the sum of its proper divisors (221559488).

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

107689536 is a wasteful number, since it uses less digits than its factorization.

107689536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 107689536 is about 10377.3568889193. The cubic root of 107689536 is about 475.7635527411.

The spelling of 107689536 in words is "one hundred seven million, six hundred eighty-nine thousand, five hundred thirty-six".