107985000 has 160 divisors (see below), whose sum is σ = 353136960. Its totient is φ = 27456000.

The previous prime is 107984971. The next prime is 107985011. The reversal of 107985000 is 589701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344844 + ... + 345156.

It is an arithmetic number, because the mean of its divisors is an integer number (2207106).

Almost surely, 2^107985000 is an apocalyptic number.

107985000 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 107985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176568480).

107985000 is an abundant number, since it is smaller than the sum of its proper divisors (245151960).

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

107985000 is a wasteful number, since it uses less digits than its factorization.

107985000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 107985000 is about 10391.5831325164. The cubic root of 107985000 is about 476.1982673328.

The spelling of 107985000 in words is "one hundred seven million, nine hundred eighty-five thousand".