180107424 has 144 divisors (see below), whose sum is σ = 599901120. Its totient is φ = 50181120.

The previous prime is 180107381. The next prime is 180107437. The reversal of 180107424 is 424701081.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81567 + ... + 83745.

It is an arithmetic number, because the mean of its divisors is an integer number (4165980).

Almost surely, 2^180107424 is an apocalyptic number.

180107424 is a gapful number since it is divisible by the number (14) 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 180107424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299950560).

180107424 is an abundant number, since it is smaller than the sum of its proper divisors (419793696).

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

180107424 is a wasteful number, since it uses less digits than its factorization.

180107424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 180107424 is about 13420.4107239682. The cubic root of 180107424 is about 564.7339170518.

The spelling of 180107424 in words is "one hundred eighty million, one hundred seven thousand, four hundred twenty-four".