107817920 has 112 divisors (see below), whose sum is σ = 296509440. Its totient is φ = 36578304.

The previous prime is 107817917. The next prime is 107817929. The reversal of 107817920 is 29718701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107817929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 284291 + ... + 284669.

Almost surely, 2^107817920 is an apocalyptic number.

107817920 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 107817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254720).

107817920 is an abundant number, since it is smaller than the sum of its proper divisors (188691520).

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

107817920 is a wasteful number, since it uses less digits than its factorization.

107817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 107817920 is about 10383.5408218969. The cubic root of 107817920 is about 475.9525409925.

The spelling of 107817920 in words is "one hundred seven million, eight hundred seventeen thousand, nine hundred twenty".