107080180 has 72 divisors (see below), whose sum is σ = 243873000. Its totient is φ = 39443712.

The previous prime is 107080121. The next prime is 107080189. The reversal of 107080180 is 81080701.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 86341264 = 4554^2 + 9292^2 .

It is a super-2 number, since 2×107080180² = 22932329897664800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107080189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306646 + ... + 306994.

It is an arithmetic number, because the mean of its divisors is an integer number (3387125).

Almost surely, 2^107080180 is an apocalyptic number.

107080180 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 107080180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121936500).

107080180 is an abundant number, since it is smaller than the sum of its proper divisors (136792820).

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

107080180 is a wasteful number, since it uses less digits than its factorization.

107080180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 107080180 is about 10347.9553535952. The cubic root of 107080180 is about 474.8644932026.

The spelling of 107080180 in words is "one hundred seven million, eighty thousand, one hundred eighty".