107803920 has 240 divisors, whose sum is σ = 396938880. Its totient is φ = 24127488.

The previous prime is 107803907. The next prime is 107803931. The reversal of 107803920 is 29308701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1046589 + ... + 1046691.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^107803920 is an apocalyptic number.

107803920 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 107803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

107803920 is an abundant number, since it is smaller than the sum of its proper divisors (289134960).

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

107803920 is a wasteful number, since it uses less digits than its factorization.

107803920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

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

The square root of 107803920 is about 10382.8666561793. The cubic root of 107803920 is about 475.9319395192.

The spelling of 107803920 in words is "one hundred seven million, eight hundred three thousand, nine hundred twenty".