180410112 has 144 divisors (see below), whose sum is σ = 546810880. Its totient is φ = 58641408.

The previous prime is 180410107. The next prime is 180410117. The reversal of 180410112 is 211014081.

It is an interprime number because it is at equal distance from previous prime (180410107) and next prime (180410117).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180410117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296913 + ... + 297519.

Almost surely, 2^180410112 is an apocalyptic number.

180410112 is a gapful number since it is divisible by the number (12) 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 180410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273405440).

180410112 is an abundant number, since it is smaller than the sum of its proper divisors (366400768).

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

180410112 is an equidigital number, since it uses as much as digits as its factorization.

180410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 180410112 is about 13431.6831409917. The cubic root of 180410112 is about 565.0501033700.

Adding to 180410112 its reverse (211014081), we get a palindrome (391424193).

The spelling of 180410112 in words is "one hundred eighty million, four hundred ten thousand, one hundred twelve".