180109312 has 30 divisors (see below), whose sum is σ = 360240398. Its totient is φ = 90046464.

The previous prime is 180109283. The next prime is 180109399. The reversal of 180109312 is 213901081.

It can be written as a sum of positive squares in only one way, i.e., 126877696 + 53231616 = 11264^2 + 7296^2 .

It is a super-2 number, since 2×180109312² = 64878728538226688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10888 + ... + 21880.

Almost surely, 2^180109312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180120199).

180109312 is an abundant number, since it is smaller than the sum of its proper divisors (180131086).

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

180109312 is an frugal number, since it uses more digits than its factorization.

180109312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11021 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 180109312 is about 13420.4810644030. The cubic root of 180109312 is about 564.7358903444.

The spelling of 180109312 in words is "one hundred eighty million, one hundred nine thousand, three hundred twelve".