1982106000 has 240 divisors, whose sum is σ = 7912315008. Its totient is φ = 453024000.

The previous prime is 1982105981. The next prime is 1982106047. The reversal of 1982106000 is 6012891.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118135 + ... + 133865.

Almost surely, 2^1982106000 is an apocalyptic number.

1982106000 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 1982106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956157504).

1982106000 is an abundant number, since it is smaller than the sum of its proper divisors (5930209008).

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

1982106000 is a wasteful number, since it uses less digits than its factorization.

1982106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15767 (or 15748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1982106000 is about 44520.8490485076. The cubic root of 1982106000 is about 1256.1522831842.

Adding to 1982106000 its reverse (6012891), we get a palindrome (1988118891).

The spelling of 1982106000 in words is "one billion, nine hundred eighty-two million, one hundred six thousand".