107289312 has 144 divisors (see below), whose sum is σ = 323734320. Its totient is φ = 30990336.

The previous prime is 107289283. The next prime is 107289313. The reversal of 107289312 is 213982701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107289313) 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, 275614 + ... + 276002.

It is an arithmetic number, because the mean of its divisors is an integer number (2248155).

Almost surely, 2^107289312 is an apocalyptic number.

107289312 is a gapful number since it is divisible by the number (12) 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 107289312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161867160).

107289312 is an abundant number, since it is smaller than the sum of its proper divisors (216445008).

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

107289312 is a wasteful number, since it uses less digits than its factorization.

107289312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 107289312 is about 10358.0554159553. The cubic root of 107289312 is about 475.1734354659.

The spelling of 107289312 in words is "one hundred seven million, two hundred eighty-nine thousand, three hundred twelve".