107985360 has 320 divisors, whose sum is σ = 428544000. Its totient is φ = 21897216.

The previous prime is 107985331. The next prime is 107985401. The reversal of 107985360 is 63589701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542541 + ... + 542739.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^107985360 is an apocalyptic number.

107985360 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 107985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

107985360 is an abundant number, since it is smaller than the sum of its proper divisors (320558640).

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

107985360 is a wasteful number, since it uses less digits than its factorization.

107985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 107985360 is about 10391.6004542130. The cubic root of 107985360 is about 476.1987965149.

It can be divided in two parts, 107985 and 360, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 107985360 in words is "one hundred seven million, nine hundred eighty-five thousand, three hundred sixty".