1982412100 has 18 divisors (see below), whose sum is σ = 4301834474. Its totient is φ = 792964800.

The previous prime is 1982412083. The next prime is 1982412151. The reversal of 1982412100 is 12142891.

It can be written as a sum of positive squares in 3 ways, for example, as 16908544 + 1965503556 = 4112^2 + 44334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9911961 + ... + 9912160.

Almost surely, 2^1982412100 is an apocalyptic number.

1982412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982412100 is an abundant number, since it is smaller than the sum of its proper divisors (2319422374).

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

1982412100 is a wasteful number, since it uses less digits than its factorization.

1982412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19824135 (or 19824128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1982412100 is about 44524.2866310062. The cubic root of 1982412100 is about 1256.2169431002.

Adding to 1982412100 its reverse (12142891), we get a palindrome (1994554991).

The spelling of 1982412100 in words is "one billion, nine hundred eighty-two million, four hundred twelve thousand, one hundred".