107781220 has 48 divisors (see below), whose sum is σ = 241718400. Its totient is φ = 40271616.

The previous prime is 107781211. The next prime is 107781221. The reversal of 107781220 is 22187701.

It is not an unprimeable number, because it can be changed into a prime (107781221) 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, 17056 + ... + 22504.

It is an arithmetic number, because the mean of its divisors is an integer number (5035800).

Almost surely, 2^107781220 is an apocalyptic number.

107781220 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 107781220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120859200).

107781220 is an abundant number, since it is smaller than the sum of its proper divisors (133937180).

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

107781220 is a wasteful number, since it uses less digits than its factorization.

107781220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 107781220 is about 10381.7734515833. The cubic root of 107781220 is about 475.8985319108.

The spelling of 107781220 in words is "one hundred seven million, seven hundred eighty-one thousand, two hundred twenty".