180100980 has 72 divisors (see below), whose sum is σ = 549872232. Its totient is φ = 47713536.

The previous prime is 180100969. The next prime is 180100993. The reversal of 180100980 is 89001081.

It can be written as a sum of positive squares in 4 ways, for example, as 26440164 + 153660816 = 5142^2 + 12396^2 .

It is a congruent number.

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, 25074 + ... + 31446.

Almost surely, 2^180100980 is an apocalyptic number.

180100980 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 180100980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274936116).

180100980 is an abundant number, since it is smaller than the sum of its proper divisors (369771252).

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

180100980 is a wasteful number, since it uses less digits than its factorization.

180100980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 180100980 is about 13420.1706397497. The cubic root of 180100980 is about 564.7271818330.

The spelling of 180100980 in words is "one hundred eighty million, one hundred thousand, nine hundred eighty".