107289300 has 72 divisors (see below), whose sum is σ = 317681056. Its totient is φ = 27941760.

The previous prime is 107289283. The next prime is 107289313. The reversal of 107289300 is 3982701.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8742 + ... + 17058.

Almost surely, 2^107289300 is an apocalyptic number.

107289300 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 107289300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158840528).

107289300 is an abundant number, since it is smaller than the sum of its proper divisors (210391756).

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

107289300 is a wasteful number, since it uses less digits than its factorization.

107289300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107289300 is about 10358.0548366959. The cubic root of 107289300 is about 475.1734177503.

The spelling of 107289300 in words is "one hundred seven million, two hundred eighty-nine thousand, three hundred".