181980100 has 81 divisors (see below), whose sum is σ = 422727501. Its totient is φ = 67989600.

The previous prime is 181980089. The next prime is 181980101. The reversal of 181980100 is 1089181.

The square root of 181980100 is 13490.

It is a perfect power (a square), and thus also a powerful number.

181980100 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 65512836 + 116467264 = 8094^2 + 10792^2 .

It is a Duffinian number.

181980100 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (181980101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2563065 + ... + 2563135.

Almost surely, 2^181980100 is an apocalyptic number.

181980100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181980100 is the 13490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181980100

181980100 is an abundant number, since it is smaller than the sum of its proper divisors (240747401).

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

181980100 is a wasteful number, since it uses less digits than its factorization.

181980100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

The cubic root of 181980100 is about 566.6844554200.

Multiplying 181980100 by its product of nonzero digits (576), we get a square (104820537600 = 323760²).

The spelling of 181980100 in words is "one hundred eighty-one million, nine hundred eighty thousand, one hundred".