107986300 has 36 divisors (see below), whose sum is σ = 236503960. Its totient is φ = 42793920.

The previous prime is 107986289. The next prime is 107986301. The reversal of 107986300 is 3689701.

It is a super-2 number, since 2×107986300² = 23322081975380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107986301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947 + ... + 15853.

Almost surely, 2^107986300 is an apocalyptic number.

107986300 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 107986300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118251980).

107986300 is an abundant number, since it is smaller than the sum of its proper divisors (128517660).

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

107986300 is a wasteful number, since it uses less digits than its factorization.

107986300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 107986300 is about 10391.6456829513. The cubic root of 107986300 is about 476.2001782626.

The spelling of 107986300 in words is "one hundred seven million, nine hundred eighty-six thousand, three hundred".