107707820 has 48 divisors (see below), whose sum is σ = 252788256. Its totient is φ = 38208000.

The previous prime is 107707813. The next prime is 107707837. The reversal of 107707820 is 28707701.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3050 + ... + 14990.

It is an arithmetic number, because the mean of its divisors is an integer number (5266422).

Almost surely, 2^107707820 is an apocalyptic number.

107707820 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 107707820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126394128).

107707820 is an abundant number, since it is smaller than the sum of its proper divisors (145080436).

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

107707820 is a wasteful number, since it uses less digits than its factorization.

107707820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 107707820 is about 10378.2378080289. The cubic root of 107707820 is about 475.7904769557.

The spelling of 107707820 in words is "one hundred seven million, seven hundred seven thousand, eight hundred twenty".