107820080 has 40 divisors (see below), whose sum is σ = 252921312. Its totient is φ = 42742784.

The previous prime is 107820047. The next prime is 107820101. The reversal of 107820080 is 80028701.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3077 + ... + 15003.

Almost surely, 2^107820080 is an apocalyptic number.

107820080 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 107820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126460656).

107820080 is an abundant number, since it is smaller than the sum of its proper divisors (145101232).

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

107820080 is a wasteful number, since it uses less digits than its factorization.

107820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12053 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 107820080 is about 10383.6448321387. The cubic root of 107820080 is about 475.9557193467.

Adding to 107820080 its reverse (80028701), we get a palindrome (187848781).

The spelling of 107820080 in words is "one hundred seven million, eight hundred twenty thousand, eighty".