107389000 has 64 divisors (see below), whose sum is σ = 266114160. Its totient is φ = 40422400.

The previous prime is 107388997. The next prime is 107389013. The reversal of 107389000 is 983701.

It can be written as a sum of positive squares in 8 ways, for example, as 12404484 + 94984516 = 3522^2 + 9746^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107389000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13842 + ... + 20158.

Almost surely, 2^107389000 is an apocalyptic number.

107389000 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 107389000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133057080).

107389000 is an abundant number, since it is smaller than the sum of its proper divisors (158725160).

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

107389000 is a wasteful number, since it uses less digits than its factorization.

107389000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 107389000 is about 10362.8663988300. The cubic root of 107389000 is about 475.3205592415.

The spelling of 107389000 in words is "one hundred seven million, three hundred eighty-nine thousand".