1982190100 has 72 divisors (see below), whose sum is σ = 4806942336. Its totient is φ = 703200000.

The previous prime is 1982190083. The next prime is 1982190103. The reversal of 1982190100 is 10912891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982190103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23125 + ... + 67075.

It is an arithmetic number, because the mean of its divisors is an integer number (66763088).

Almost surely, 2^1982190100 is an apocalyptic number.

1982190100 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 1982190100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403471168).

1982190100 is an abundant number, since it is smaller than the sum of its proper divisors (2824752236).

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

1982190100 is a wasteful number, since it uses less digits than its factorization.

1982190100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44017 (or 44010 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The square root of 1982190100 is about 44521.7935397935. The cubic root of 1982190100 is about 1256.1700489534.

The spelling of 1982190100 in words is "one billion, nine hundred eighty-two million, one hundred ninety thousand, one hundred".