107689000 has 64 divisors (see below), whose sum is σ = 254489040. Its totient is φ = 42649600.

The previous prime is 107688989. The next prime is 107689003. The reversal of 107689000 is 986701.

It can be written as a sum of positive squares in 8 ways, for example, as 3771364 + 103917636 = 1942^2 + 10194^2 .

It is not an unprimeable number, because it can be changed into a prime (107689003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112524 + ... + 113476.

Almost surely, 2^107689000 is an apocalyptic number.

107689000 is a gapful number since it is divisible by the number (10) 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 107689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127244520).

107689000 is an abundant number, since it is smaller than the sum of its proper divisors (146800040).

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

107689000 is a wasteful number, since it uses less digits than its factorization.

107689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 107689000 is about 10377.3310634286. The cubic root of 107689000 is about 475.7627634051.

The spelling of 107689000 in words is "one hundred seven million, six hundred eighty-nine thousand".