107389800 has 240 divisors, whose sum is σ = 426713760. Its totient is φ = 24520320.

The previous prime is 107389781. The next prime is 107389823. The reversal of 107389800 is 8983701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

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 59 ways as a sum of consecutive naturals, for example, 112927 + ... + 113873.

It is an arithmetic number, because the mean of its divisors is an integer number (1777974).

Almost surely, 2^107389800 is an apocalyptic number.

107389800 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 107389800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213356880).

107389800 is an abundant number, since it is smaller than the sum of its proper divisors (319323960).

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

107389800 is a wasteful number, since it uses less digits than its factorization.

107389800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107389800 is about 10362.9049981171. The cubic root of 107389800 is about 475.3217395471.

The spelling of 107389800 in words is "one hundred seven million, three hundred eighty-nine thousand, eight hundred".